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A characteristic subgroup of Σ4-free groups

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Abstract

LetS be a finite non-trivial 2-group. It is shown that there exists a nontrivial characteristic subgroupW(S) inS satisfying:W(S) is normal inH for every finite Σ4-free groupsH withSεSyl2(H) andC H(O2(H))≤O2(H).

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Authors and Affiliations

  1. Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098, Kiel, Germany

    Bernd Stellmacher

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  1. Bernd Stellmacher
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Stellmacher, B. A characteristic subgroup of Σ4-free groups. Israel J. Math. 94, 367–379 (1996). https://doi.org/10.1007/BF02762712

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  • DOI: https://doi.org/10.1007/BF02762712

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