Finite groups with a splitting automorphism of odd order

被引：4

作者：

Ersoy, Kivanc ^{[1
]}

机构：

[1] Mimar Sinan Fine Arts Univ, Dept Math, TR-34427 Istanbul, Turkey

来源：

ARCHIV DER MATHEMATIK | 2016年 / 106卷 / 05期

关键词：

Splitting automorphism; Finite simple group; Locally finite group; Centralizer;

D O I：

10.1007/s00013-016-0874-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that a finite group with a splitting automorphism of odd order is solvable. By using this result, we prove that a locally finite group with a splitting automorphism of odd order is locally solvable.

引用

页码：401 / 407

页数：7

共 13 条

[1] Carter R.W., 1993, FINITE GROUPS LIE TY
[2] Conway J. H., 1985, MATHBB ATLAS FINITE
[3] INFINITE GROUPS WITH AN ANTICENTRAL ELEMENT
Ersoy, Kivanc
[J]. COMMUNICATIONS IN ALGEBRA, 2012, 40 (12) : 4627 - 4638
[4] Gorchakov Yu.M., 1965, Algebra Logika, V4 No, P15
[5] Gorenstein D., MATH SURVEYS MONOGRA, V40
[6] A GENERAL BRAUER-FOWLER THEOREM AND CENTRALIZERS IN LOCALLY FINITE-GROUPS
HARTLEY, B
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1992, 152 (01) : 101 - 117
[7] Jabara E., 1996, REND CIRC MAT PALERM, V45, P84, DOI 10.1007/BF02845091
[8] Kegel O. H., 1960, Math. Z, V75, P373
[9] Groups with anticentral elements
Ladisch, Frieder
[J]. COMMUNICATIONS IN ALGEBRA, 2008, 36 (08) : 2883 - 2894
[10] ROBINSON DJS, 1995, GRADUATE TEXTS MATH, V80

← 1 2 →