Pub Date : 2023-01-01Epub Date: 2023-02-10DOI: 10.1007/s10013-023-00607-5
Attila Maróti, Saveliy V Skresanov
General bounds are presented for the diameters of orbital graphs of finite affine primitive permutation groups. For example, it is proved that the orbital diameter of a finite affine primitive permutation group with a nontrivial point stabilizer H ≤GL(V ), where the vector space V has dimension d over the prime field, can be bounded in terms of d and only. Several infinite families of affine primitive permutation groups with large orbital diameter are constructed. The results are independent from the classification of finite simple groups.
{"title":"Bounds for the Diameters of Orbital Graphs of Affine Groups.","authors":"Attila Maróti, Saveliy V Skresanov","doi":"10.1007/s10013-023-00607-5","DOIUrl":"10.1007/s10013-023-00607-5","url":null,"abstract":"<p><p>General bounds are presented for the diameters of orbital graphs of finite affine primitive permutation groups. For example, it is proved that the orbital diameter of a finite affine primitive permutation group with a nontrivial point stabilizer <i>H</i> ≤GL(<i>V</i> ), where the vector space <i>V</i> has dimension <i>d</i> over the prime field, can be bounded in terms of <i>d</i> and <math><mi>log</mi><mo>|</mo><mi>V</mi><mo>|</mo><mo>/</mo><mi>log</mi><mo>|</mo><mi>H</mi><mo>|</mo></math> only. Several infinite families of affine primitive permutation groups with large orbital diameter are constructed. The results are independent from the classification of finite simple groups.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10444657/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10072755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-29DOI: 10.1007/s10013-023-00629-z
A. Zalesski
{"title":"Rational Elements in Representations of Simple Algebraic Groups, I","authors":"A. Zalesski","doi":"10.1007/s10013-023-00629-z","DOIUrl":"https://doi.org/10.1007/s10013-023-00629-z","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45002557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-20DOI: 10.1007/s10013-023-00644-0
L. Capogna, G. Citti, X. Zhong
{"title":"Regularity Theory of Quasilinear Elliptic and Parabolic Equations in the Heisenberg Group","authors":"L. Capogna, G. Citti, X. Zhong","doi":"10.1007/s10013-023-00644-0","DOIUrl":"https://doi.org/10.1007/s10013-023-00644-0","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47883448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-31DOI: 10.1007/s10013-023-00640-4
V. Barbu, M. Rockner, Deng Zhang
{"title":"Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrödinger Equations","authors":"V. Barbu, M. Rockner, Deng Zhang","doi":"10.1007/s10013-023-00640-4","DOIUrl":"https://doi.org/10.1007/s10013-023-00640-4","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46465688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-24DOI: 10.1007/s10013-022-00592-1
Boris Andreianov, E. Quenjel
{"title":"On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators","authors":"Boris Andreianov, E. Quenjel","doi":"10.1007/s10013-022-00592-1","DOIUrl":"https://doi.org/10.1007/s10013-022-00592-1","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48067175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-21DOI: 10.1007/s10013-022-00582-3
N. Tri, Bui Thi Hong Cam
{"title":"General Local Cohomology Modules with Small Dimensions","authors":"N. Tri, Bui Thi Hong Cam","doi":"10.1007/s10013-022-00582-3","DOIUrl":"https://doi.org/10.1007/s10013-022-00582-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48591329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-10DOI: 10.1007/s10013-022-00580-5
A. Klawonn, M. Lanser, Adam Wasiak
{"title":"Adaptive and Frugal FETI-DP for Virtual Elements","authors":"A. Klawonn, M. Lanser, Adam Wasiak","doi":"10.1007/s10013-022-00580-5","DOIUrl":"https://doi.org/10.1007/s10013-022-00580-5","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46458755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-10DOI: 10.1007/s10013-023-00633-3
Sagun Chanillo
{"title":"Resonances and Eigenvalues for the Constant Mean Curvature Equation","authors":"Sagun Chanillo","doi":"10.1007/s10013-023-00633-3","DOIUrl":"https://doi.org/10.1007/s10013-023-00633-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45945109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-06DOI: 10.1007/s10013-022-00589-w
E. Burman, M. Fernández, F. Gerosa
{"title":"Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction","authors":"E. Burman, M. Fernández, F. Gerosa","doi":"10.1007/s10013-022-00589-w","DOIUrl":"https://doi.org/10.1007/s10013-022-00589-w","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44244213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-04DOI: 10.1007/s10013-022-00586-z
C. Rodríguez
{"title":"A Lower Bound on the Number of Generators of a Defect Group","authors":"C. Rodríguez","doi":"10.1007/s10013-022-00586-z","DOIUrl":"https://doi.org/10.1007/s10013-022-00586-z","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48764073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}