Thompson＇s conjecture for alternating group of degree 22  

作　　者：Mingchun XU 

机构地区：[1]School of Mathematics, South China Normal University, Guangzhou 510631, China

出　　处：《Frontiers of Mathematics in China》2013年第5期1227-1236,共10页中国高等学校学术文摘·数学（英文）

摘　　要：For a finite group G, it is denoted by N（G） the set of conjugacy class sizes of G. In 1980s, J. G. Thompson posed the following conjecture： if L is a finite nonabelian simple group, G is a finite group with trivial center, and N（G） = N（L）, then L and G are isomorphic. In this paper, it is proved that Thompson＇s conjecture is true for the alternating group A22 with connected prime graph.For a finite group G, it is denoted by N（G） the set of conjugacy class sizes of G. In 1980s, J. G. Thompson posed the following conjecture： if L is a finite nonabelian simple group, G is a finite group with trivial center, and N（G） = N（L）, then L and G are isomorphic. In this paper, it is proved that Thompson＇s conjecture is true for the alternating group A22 with connected prime graph.

关 键 词：Finite group conjugacy class size simple group prime graph of a group 

分 类 号：O152.2[理学—数学] O152.1[理学—基础数学]