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A characteristic subgroup of Sigma4-free groups

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Let S be a finite non-trivial 2-group. It is shown that there exists a nontrivial characteristic subgroup W(S) in S satisfying:W(S) is normal in H for every finite Σ4-free groups H withSεSyl2(H) andC H(O2(H))≤O2(H).

Author(s): Stellmacher B.
Year: 1993

Language: English
Commentary: 51118
Pages: 13