Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (5): 600-602.doi: 10.3969/j.issn.1007-2861.2011.05.005
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
SHAO Chang-guo,JIANG Qin-hui
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Abstract: This paper characterizes the groups A6 and S6 by the set of size of conjugacy classes, and gets the following results: If cscs（G）=cs（G）={1, p3·r,p·q2·r,p3·q2,q2·r}, then G=A6; If cs（G）={1,q·r,p3·r,q2·r,p·q2·r,p3·q·r,p4·q2}, then G=S6.
Key words: conjugacy classes, finite groups, prime graphs, simple K3-groups
CLC Number:
O 152.1
SHAO Chang-guo,JIANG Qin-hui. Finite Groups with the Given Length of Conjugacy Classes[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(5): 600-602.
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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2011.05.005
https://www.journal.shu.edu.cn/EN/Y2011/V17/I5/600
