Finite Groups with Three Given Subgroups

被引：0
作者：
A. F. Vasil’ev
T. I. Vasil’eva
K. L. Parfenkov
机构：
[1] Francisk Skorina Gomel State University,
[2] Francisk Skorina Gomel State University Belarusian State University of Transport,undefined
来源：
Siberian Mathematical Journal | 2018年 / 59卷
关键词：
finite group; supersoluble group; w-supersoluble group; formation; hereditary saturated formation; F-subnormal subgroup;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a hereditary saturated formation F of soluble groups, we study finite groups with three F-subgroups of coprime indices. We obtain the new criteria for these groups to lie in the Shemetkov formations, the formations of all supersoluble groups, the formations of all groups with nilpotent commutator subgroup, and other formations.
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页码：50 / 58
页数：8
相关论文
共 34 条
  • [1] Wielandt H.(1960)Über die Normalstruktur von mehrfach faktorisierbaren Gruppen J. Austral. Math. Soc. 1 143-146
  • [2] Kegel O. H.(1965)Zur Struktur mehrfach factorisierbarer endlicher Gruppen Math. Z. 87 42-48
  • [3] Vasilyev A. F.(2009)Recursively recognizable local formations of finite groups PFMT 1 44-50
  • [4] Vasilyeva T. I.(2010)On a group with three supersolvable subgroups of pairwise relatively prime indices Arch. Math. 95 309-315
  • [5] Flowers N.(2011)On factorizations of finite groups with F-hypercentral intersections of the factors J. Group Theory 14 695-708
  • [6] Wakefield T. P.(2016)Triple factorizations and supersolubility of finite groups Proc. Edinburgh Math. Soc. 59 301-309
  • [7] Guo W.(2011)On finite groups with generally subnormal Sylow subgroups PFMT 4 86-91
  • [8] Skiba A. N.(2016)Finite groups with generalized subnormal embedding of Sylow subgroups Sib. Math. J. 57 200-212
  • [9] Ballester-Bolinches A.(2010)On the finite groups of supersoluble type Sib. Math. J. 51 1004-1012
  • [10] Ezquerro L. M.(1989)Submodular subgroups in finite groups Math. Z. 202 545-557
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