Sylow 2-subgroups of the fixed point subgroup and the solvability of finite groups

被引：0

作者：

Jiang, Qinhui ^{[1
]}

Chen, Zhaoying ^{[1
]}

Li, Kefeng ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 04期

关键词：

Finite groups; Sylow; 2-subgroups; coprime action;

D O I：

10.1142/S0219498819500804

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a finite group which acts coprimely on finite group G via automorphisms. We investigate the influence of the structural conditions of the Sylow 2-subgroups of the fixed point subgroup of the action, C-G(A), working on the non-simplicity or solvability of G.

引用

页数：6

共 50 条

[1] CONDITIONS FOR SYLOW 2-SUBGROUPS OF THE FIXED POINT SUBGROUP IMPLYING SOLUBILITY
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[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2019, 62 (01) : 211 - 220
[2] Sylow 2-subgroups of finite simple groups
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Lang, ML
[J]. PROCEEDINGS OF THE THIRD INTERNATIONAL ALGEBRA CONFERENCE, 2003, : 33 - 38
[3] FINITE SIMPLE GROUPS WHOSE SYLOW 2-SUBGROUPS HAVE CYCLIC COMMUTATOR SUBGROUP
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[J]. SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (01) : 67 - 71
[4] Normalizers of the Sylow 2-Subgroups in Finite Simple Groups
A. S. Kondrat'ev
[J]. Mathematical Notes, 2005, 78 : 338 - 346
[5] Normalizers of the Sylow 2-subgroups in finite simple groups
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[J]. MATHEMATICAL NOTES, 2005, 78 (3-4) : 338 - 346
[6] CHARACTERIZATION OF FINITE GROUPS WITH ABELIAN SYLOW 2-SUBGROUPS
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[J]. ANNALS OF MATHEMATICS, 1969, 89 (03) : 405 - &
[7] INTERSECTIONS OF SYLOW 2-SUBGROUPS OF FINITE-GROUPS
KABANOV, VV
[J]. MATHEMATICAL NOTES, 1978, 24 (5-6) : 829 - 831
[8] FINITE GROUPS WITH SYLOW 2-SUBGROUPS OF TYPE 12
SOLOMON, RM
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1097 - &
[9] Characterization of Finite Simple Groups With Abelian Sylow 2-Subgroups
R. Brandl
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[J]. Science Bulletin, 1994, (10) : 876 - 876
[10] Sylow 2-subgroups of the periodic groups saturated with finite simple groups
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[J]. Siberian Mathematical Journal, 2016, 57 : 1029 - 1033

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