GROUPS 2-TRANSITIVE ON A SET OF THEIR SYLOW SUBGROUPS

被引：1
作者：
BREWSTER, B
WARD, MB
机构：
[1] SUNY BINGHAMTON,DEPT MATH SCI,BINGHAMTON,NY 13901
[2] BUCKNELL UNIV,DEPT MATH,LEWISBURG,PA 17839
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1995年 / 52卷 / 01期
关键词：
D O I：
10.1017/S0004972700014507
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify, module the kernel of the action, finite groups G that act 2-transitively on Syl(r)(G) for some prime r dividing \G\. We furthermore prove that any finite group that acts 2-transitively on Syl(r)(G) for each prime r is solvable and of nilpotent length at most 3.
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页码：117 / 136
页数：20
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