Simple Groups and Sylow Subgroups

被引:0
作者
Harada, Koichiro [1 ]
机构
[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA
来源
JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2013年 / 6卷 / 04期
关键词
simple group; Sylow subgroups;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Firstly a problem to characterize Sylow 2-subgroups (of small order <= 2(10)) of finite simple groups is proposed. Next some possibly necessery) reduction steps are discussde. The latter half of these notes is devoted to finite groups having extra-spacial p-groups of order p(3) as Sylow subgroups.
引用
收藏
页码:441 / 450
页数:10
相关论文
共 25 条
[1]  
[Anonymous], 2004, MATH SURV MONOGR
[2]  
Aschabcher M., 2011, MATH SURVEYS MONOGRA, V172
[3]   The groups of order at most 2000 [J].
Besche, HU ;
Eick, B ;
O'Brien, EA .
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 7 :1-4
[4]  
Dickson L.E., 1958, LINEAR GROUPS EXPOSI, pxvi+312
[5]  
GILMAN R, 1975, T AM MATH SOC, V207, P1
[6]  
GILMAN R, 1975, T AM MATH SOC, V207, P103
[7]  
Glauberman G., 1966, J ALGEBRA, V4
[8]   STRONGLY CLOSED 2-SUBGROUPS OF FINITE-GROUPS [J].
GOLDSCHMIDT, DM .
ANNALS OF MATHEMATICS, 1975, 102 (03) :475-489
[9]   2-FUSION IN FINITE-GROUPS [J].
GOLDSCHMIDT, DM .
ANNALS OF MATHEMATICS, 1974, 99 (01) :70-117
[10]   FINITE-GROUPS ALL OF WHOSE NON-2-CLOSED 2-LOCAL SUBGROUPS HAVE SYLOW 2-SUBGROUPS OF CLASS 2 [J].
GOMI, K .
JOURNAL OF ALGEBRA, 1975, 35 (1-3) :214-223