A local approach to certain classes of finite groups

被引：15

作者：

Ballester-Bolinches, A

Beidleman, JC

Heineken, H

机构：

[1] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain

[2] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[3] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 12期

关键词：

finite groups; subnormal subgroups; permutability;

D O I：

10.1081/AGB-120024860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop several local approaches for the three classes of finite groups: T-groups (normality is a transitive relation) and PT-groups (permutability is a transitive relation) and PST-groups (S-permutability is a transitive relation). Here a subgroup of a finite group G is S-permutable if it permutes with all the Sylow subgroup of G.

引用

页码：5931 / 5942

页数：12

共 50 条

[31] Classes of monoids with applications: formations of languages and multiply local formations of finite groups
Tsarev, Aleksandr
Kukharev, Andrei
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1257 - 1268
[32] On representations of certain finite groups
Wigner, EP
AMERICAN JOURNAL OF MATHEMATICS, 1941, 63 : 57 - 63
[33] On certain residually finite groups
Delizia, C
COMMUNICATIONS IN ALGEBRA, 1996, 24 (11) : 3531 - 3535
[34] GROUPS PRESENTED BY CERTAIN CLASSES OF FINITE LENGTH-REDUCING STRING-REWRITING SYSTEMS
MADLENER, K
OTTO, F
LECTURE NOTES IN COMPUTER SCIENCE, 1987, 256 : 133 - 144
[35] On equality of certain automorphism groups of finite groups
Shabani-Attar, Mehdi
COMMUNICATIONS IN ALGEBRA, 2017, 45 (01) : 437 - 442
[36] Harborth constants for certain classes of metacyclic groups
Kravitz, Noah
DISCRETE MATHEMATICS, 2019, 342 (05) : 1492 - 1509
[37] CHERN CLASSES OF CERTAIN REPRESENTATIONS OF SYMMETRIC GROUPS
EVENS, L
KAHN, DS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 245 (NOV) : 309 - 330
[38] SPECTRUM FUNCTIONS FOR CERTAIN CLASSES OF NILPOTENT GROUPS
VIDELA, CR
COMMUNICATIONS IN ALGEBRA, 1995, 23 (01) : 1 - 6
[39] Non-cancellation for certain classes of groups
Witbooi, PJ
COMMUNICATIONS IN ALGEBRA, 1999, 27 (08) : 3639 - 3646
[40] Conditional permutability of subgroups and certain classes of groups
Arroyo-Jorda, M.
Arroyo-Jorda, P.
JOURNAL OF ALGEBRA, 2017, 476 : 395 - 414

← 1 2 3 4 5 →