Pub Date : 2024-09-02DOI: 10.1080/00927872.2024.2395990
Boru Zhang, Jiakuan Lu, Wei Meng
Let G and A be finite groups of relative coprime orders and A acts on G via automorphisms. In this paper, we investigate the p-nilpotency and solvability of finite groups in which every maximal A-i...
设 G 和 A 是相对共阶的有限群，且 A 通过自动形作用于 G。本文研究了有限群的 p-nilpotency 和可解性，其中每个最大 A-i...
{"title":"A new criterion for p-nilpotency and solvability of finite groups by coprime actions","authors":"Boru Zhang, Jiakuan Lu, Wei Meng","doi":"10.1080/00927872.2024.2395990","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395990","url":null,"abstract":"Let G and A be finite groups of relative coprime orders and A acts on G via automorphisms. In this paper, we investigate the p-nilpotency and solvability of finite groups in which every maximal A-i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-02DOI: 10.1080/00927872.2024.2394968
Isabel Colaço, Ignacio Ojeda
Let k be an arbitrary field and let b>1,n>1 and a be three positive integers. In this paper we explicitly describe a minimal S-graded free resolution of the semigroup algebra k[S] when S is a gener...
让 k 是一个任意域，让 b>1,n>1 和 a 是三个正整数。在本文中，我们明确描述了半群代数 k[S] 的最小 S 阶自由解析，当 S 是一个属...
{"title":"Minimal free resolution of generalized repunit algebras","authors":"Isabel Colaço, Ignacio Ojeda","doi":"10.1080/00927872.2024.2394968","DOIUrl":"https://doi.org/10.1080/00927872.2024.2394968","url":null,"abstract":"Let k be an arbitrary field and let b>1,n>1 and a be three positive integers. In this paper we explicitly describe a minimal S-graded free resolution of the semigroup algebra k[S] when S is a gener...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-01DOI: 10.1080/00927872.2024.2393704
M. Hassain
Let o be a compact discrete valuation ring with maximal ideal ℘ such that the finite residue field o/℘ has characteristic p. For r≥2 and p=2, we obtain the branching rules for the restriction ...
{"title":"Branching rules for the restriction of regular representations of GL2(o/℘r) to SL2(o/℘r)","authors":"M. Hassain","doi":"10.1080/00927872.2024.2393704","DOIUrl":"https://doi.org/10.1080/00927872.2024.2393704","url":null,"abstract":"Let o be a compact discrete valuation ring with maximal ideal ℘ such that the finite residue field o/℘ has characteristic p. For r≥2 and p=2, we obtain the branching rules for the restriction ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-28DOI: 10.1080/00927872.2024.2392861
Kan Hu, István Kovács, Young Soo Kwon
A finite group G is an exact product of two subgroups A and B if G = AB and A∩B={1G}. In this paper, for all odd numbers k≥3, using the theory of skew morphisms and associated extended power functi...
如果 G = AB 且 A∩B={1G} ，则有限群 G 是两个子群 A 和 B 的精确乘积。在本文中，对于所有奇数 k≥3，利用偏斜态的理论和相关的扩展幂函数...
{"title":"On exact products of a cyclic group and a dihedral group","authors":"Kan Hu, István Kovács, Young Soo Kwon","doi":"10.1080/00927872.2024.2392861","DOIUrl":"https://doi.org/10.1080/00927872.2024.2392861","url":null,"abstract":"A finite group G is an exact product of two subgroups A and B if G = AB and A∩B={1G}. In this paper, for all odd numbers k≥3, using the theory of skew morphisms and associated extended power functi...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-24DOI: 10.1080/00927872.2024.2390623
Ziwendtaoré Hermann Bamogo, Friedrich Wagemann
We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...
{"title":"On the Gabriel quiver of extensions of Leibniz algebras","authors":"Ziwendtaoré Hermann Bamogo, Friedrich Wagemann","doi":"10.1080/00927872.2024.2390623","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390623","url":null,"abstract":"We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-20DOI: 10.1080/00927872.2024.2390633
Xiao Huang, Yanhui Xiang, Jia Zhang, Liyu Zhu
Abstract–In this paper, based on the classifications of Kn-simple groups for n≤6 and under the case that every maximal subgroup has a π-nilpotent trace, we obtained the necessary and sufficient con...
{"title":"On Kn-simple groups and traces of maximal subgroups","authors":"Xiao Huang, Yanhui Xiang, Jia Zhang, Liyu Zhu","doi":"10.1080/00927872.2024.2390633","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390633","url":null,"abstract":"Abstract–In this paper, based on the classifications of Kn-simple groups for n≤6 and under the case that every maximal subgroup has a π-nilpotent trace, we obtained the necessary and sufficient con...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let ⋆ be a star operation on a ring extension R⊆S. The ring extension is said to be a generalized ⋆-greatest common divisor (G- ⋆GCD) extension if the intersection of two ⋆-invertible ideals of R i...
{"title":"On generalized Star-GCD extensions","authors":"Luc Emery Fotso Diekouam, Lokendra Paudel, Simplice Tchamna","doi":"10.1080/00927872.2024.2389981","DOIUrl":"https://doi.org/10.1080/00927872.2024.2389981","url":null,"abstract":"Let ⋆ be a star operation on a ring extension R⊆S. The ring extension is said to be a generalized ⋆-greatest common divisor (G- ⋆GCD) extension if the intersection of two ⋆-invertible ideals of R i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-20DOI: 10.1080/00927872.2024.2390638
Jiří Kad’ourek
In this paper, a kind of restricted wreath product of an arbitrary band of groups by an arbitrary generalized inverse semigroup is introduced first. This wreath product turns out to be an E-solid s...
本文首先介绍了由任意广义反半群构成的任意群带的一种受限花环积。这种花环积原来是一个 E 实...
{"title":"A wreath product decomposition of E-solid locally inverse semigroups","authors":"Jiří Kad’ourek","doi":"10.1080/00927872.2024.2390638","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390638","url":null,"abstract":"In this paper, a kind of restricted wreath product of an arbitrary band of groups by an arbitrary generalized inverse semigroup is introduced first. This wreath product turns out to be an E-solid s...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-19DOI: 10.1080/00927872.2024.2387048
Pedro Rizzo, José A. Vélez-Marulanda
Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...
让 k 是一个域，让Λ 是一个（不一定是有限维的）k-代数。让 V 是一个不可分解的左Λ模块，它在 k 上是有限维的，且 dimkExtΛ1(V,V)≤1。假设 f...
{"title":"A note on deformations of finite dimensional modules over k-algebras","authors":"Pedro Rizzo, José A. Vélez-Marulanda","doi":"10.1080/00927872.2024.2387048","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387048","url":null,"abstract":"Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-17DOI: 10.1080/00927872.2024.2387058
Mingyue Xiao, Shoulan Gao, Yufeng Pei
In this paper, we use the Balinsky-Novikov construction to naturally realize the super Heisenberg-Virasoro algebra g . We then proceed to compute the second cohomology of g with trivial coefficien...
在本文中，我们利用 Balinsky-Novikov 构造自然地实现了超 Heisenberg-Virasoro 代数 g。然后，我们继续计算具有微不足道系数的 g 的第二同调...
{"title":"Central extensions, derivations, and automorphisms of the super Heisenberg-Virasoro algebra","authors":"Mingyue Xiao, Shoulan Gao, Yufeng Pei","doi":"10.1080/00927872.2024.2387058","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387058","url":null,"abstract":"In this paper, we use the Balinsky-Novikov construction to naturally realize the super Heisenberg-Virasoro algebra g . We then proceed to compute the second cohomology of g with trivial coefficien...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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