科研之友
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摘要
Let G be a finite group, S a unitary subring of the complex number field C and R(G) the character ring of G. Let pi be the set of rational prime numbers whose inverses do not belong to S. Denote the family of all p-elementary subgroups of G by W(pi), where p runs over pi. It is proved that, in the sense of conjugation, W(pi) is the least family H of subgroups of G such that the S-linear map S circle times(Z) Ind : circle plus(H is an element of H) S circle times(Z) R(H) --> S circle times(Z) R(G) is surjective.
- 出版日期2012-9
- 单位华中师范大学
