{"title":"与麦克唐纳群相关的有限 p 群的自变群","authors":"Alexander Montoya Ocampo, Fernando Szechtman","doi":"10.1080/00927872.2024.2377397","DOIUrl":null,"url":null,"abstract":"Given positive integers p and m, where p is assumed to be an odd prime, we determine the automorphism groups of p-groups J, H, and K of orders p7m , p6m , and p5m , and nilpotency classes 5, 4, and...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"19 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The automorphism group of finite p-groups associated to the Macdonald group\",\"authors\":\"Alexander Montoya Ocampo, Fernando Szechtman\",\"doi\":\"10.1080/00927872.2024.2377397\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given positive integers p and m, where p is assumed to be an odd prime, we determine the automorphism groups of p-groups J, H, and K of orders p7m , p6m , and p5m , and nilpotency classes 5, 4, and...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2377397\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2377397","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
给定正整数 p 和 m(假设 p 为奇数素数),我们确定了 p 群 J、H 和 K 的自变群,它们的阶数分别为 p7m、p6m 和 p5m,零势类分别为 5、4 和...
The automorphism group of finite p-groups associated to the Macdonald group
Given positive integers p and m, where p is assumed to be an odd prime, we determine the automorphism groups of p-groups J, H, and K of orders p7m , p6m , and p5m , and nilpotency classes 5, 4, and...
期刊介绍:
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry