Groups with isomorphic Burnside rings

被引：4
|
作者：
Raggi-Cárdenas, A
Valero-Elizondo, L
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico
[2] Univ Michoacana, Fac Ciencias Fis & Matemat, Morelia 58060, Michoacan, Mexico
来源：
ARCHIV DER MATHEMATIK | 2005年 / 84卷 / 03期
关键词：
19A22;
D O I：
10.1007/s00013-004-1124-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for some families of finite groups, the isomorphism class of the group is completely determined by its Burnside ring. Namely, we prove the following: if two finite simple groups have isomorphic Burnside rings, then the groups are isomorphic; if G is either Hamiltonian or abelian or a minimal simple group, and G' is any finite group such that B(G) congruent to B(G'), then G congruent to G'.
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页码：193 / 197
页数：5
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