On Two Counterexamples Related to GL(3,2)

Abstract

指出gl(3,2)的两个不共轭的{2,3}-HAll子群都和S_4同构.由此,进一步给出两个不同构的S_4-模提供相同2-brAuEr特征标的例子.In this paper,we gave two examples related to GL(3,2).We first gave two {2,3}-Hall subgroups of GL(3,2) which are not conjugated but both isomorphic to S_4.Furthermore,we gave two S_4-modules which are not isomorphic but afford the same Brauer characters.山西省高校科技开发项目(200713035

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