ON THE p-SOLVABILITY OF THE FINITE GROUPS WITH A T.I. SYLOW p-SUBGROUP

被引：0

作者：

张继平

机构：

[1] Mathematics Department

[2] Peking University

来源：

ChineseScienceBulletin | 1989年 / 03期

关键词：

group; solvability; T.I; set; representation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

W. Feit has ever beautifully proved the following theorem by the abstract group theoretic method.Theorem 1. Let G be an arbitrary finite group with a cyclic Sylow p-subgroup. If there exists a normal subgroup N of G such that P|(|N|, |G/N|), then G is psolvable.

引用

页码：177 / 179

页数：3

共 50 条

[21] MINIMAL DEGREES OF FAITHFUL CHARACTERS OF FINITE-GROUPS WITH A TI SYLOW P-SUBGROUP
BERGER, TR
LANDROCK, P
MICHLER, GO
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (01) : 15 - 21
[22] Criteria for the p-solvability and p-supersolvability of finite groups
Liu, Yufeng
Guo, Wenbin
Kovaleva, V. A.
Skiba, A. N.
MATHEMATICAL NOTES, 2013, 94 (3-4) : 426 - 439
[23] p-solvability and a generalization of prime graphs of finite groups
Iiyori, N
COMMUNICATIONS IN ALGEBRA, 2002, 30 (04) : 1679 - 1691
[24] ON p-SOLUBLE GROUPS WITH A GENERALIZED p-CENTRAL OR POWERFUL SYLOW p-SUBGROUP
Khukhro, E. I.
INTERNATIONAL JOURNAL OF GROUP THEORY, 2012, 1 (02) : 51 - 57
[25] MODULAR REPRESENTATION-THEORY OF FINITE-GROUPS WITH SYLOW,T.I. P-SUBGROUPS
BLAU, HI
MICHLER, GO
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 319 (02) : 417 - 468
[26] AUTOMORPHISMS WHICH CENTRALIZE A SYLOW P-SUBGROUP
GROSS, F
JOURNAL OF ALGEBRA, 1982, 77 (01) : 202 - 233
[27] THE MODULAR HECKE ALGEBRA OF A SYLOW P-SUBGROUP
LANDROCK, P
JOURNAL OF ALGEBRA, 1986, 104 (01) : 141 - 145
[28] The Local Structure for Finite Groups With a Large p-Subgroup
Meierfrankenfeld, U.
Stellmacher, B.
Stroth, G.
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 242 (1147) : 1 - +
[29] Serial group rings of finite groups. p-solvability
Kukharev, Andrei
Puninski, Gena
ALGEBRA & DISCRETE MATHEMATICS, 2013, 16 (02): : 201 - 216
[30] Fusion systems on a Sylow p-subgroup of SU4 (p)
Moncho, Raul Moragues
JOURNAL OF ALGEBRA, 2022, 589 : 188 - 214

← 1 2 3 4 5 →