SUBGROUPS OF A DIRECT PRODUCT OF GROUPS THAT SATISFY THE STRONG FRATTINI ARGUMENT

被引：1

作者：

Brewster, Ben ^{[2
]}

Evan, Joseph ^{[1
]}

Hauck, Peter ^{[3
]}

Reifferscheid, Stephanie ^{[3
]}

机构：

[1] Kings Coll, Dept Math, Wilkes Barre, PA 18711 USA

[2] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13901 USA

[3] Univ Tubingen, Wilhelm Schickard Inst Informat, D-7400 Tubingen, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 11期

关键词：

Direct products; Finite solvable groups; Subgroup properties; FINITE SOLVABLE-GROUPS; INJECTORS;

D O I：

10.1080/00927872.2010.507231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give criteria to characterize subgroups of a direct product of finite solvable groups that satisfy the strong Frattini argument.

引用

页码：3993 / 4004

页数：12

共 50 条

[41] Groups whose subgroups satisfy the weak subnormalizer condition
R. Esteban Romero
F. de Giovanni
A. Russo
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2019, 60 : 645 - 656
[42] Groups whose subgroups satisfy the weak subnormalizer condition
Esteban Romero, R.
de Giovanni, F.
Russo, A.
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2019, 60 (04): : 645 - 656
[43] Groups in Which the Maximal Subgroups of the Sylow Subgroups Satisfy Certain Permutability Conditions
Beidleman, James C.
Ragland, Matthew F.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2014, 38 (02) : 183 - 190
[44] A key theorem on the near Frattini subgroups of generalized free products of groups
Azarian, MK
HOUSTON JOURNAL OF MATHEMATICS, 1996, 22 (01): : 1 - 10
[45] GROUPS WHOSE SYLOW SUBGROUPS ARE DIRECT PRODUCT OF 2 SEMI-DIHEDRAL GROUPS
SMITH, FL
ILLINOIS JOURNAL OF MATHEMATICS, 1973, 17 (03) : 387 - 396
[46] FRATTINI SUBGROUPS OF P-CLOSED AND P-SUPERSOLVABLE GROUPS
HILL, WM
ISRAEL JOURNAL OF MATHEMATICS, 1974, 19 (03) : 208 - 211
[47] Finite p-groups all of whose proper subgroups have cyclic Frattini subgroups
Zhang, Junqiang
Li, Xianhua
JOURNAL OF GROUP THEORY, 2012, 15 (02) : 245 - 259
[48] ON THE LOWER NEAR FRATTINI SUBGROUPS OF AMALGAMATED FREE-PRODUCTS OF GROUPS
AZARIAN, MK
HOUSTON JOURNAL OF MATHEMATICS, 1993, 19 (04): : 499 - 504
[49] 2-GENERATOR FRATTINI SUBGROUPS OF FINITE P-GROUPS
LANGE, GL
ISRAEL JOURNAL OF MATHEMATICS, 1978, 29 (04) : 357 - 360
[50] SUBGROUPS OF A TREE PRODUCT OF GROUPS
FISCHER, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 210 (SEP) : 27 - 50

← 1 2 3 4 5 →