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Finite groups with a splitting automorphism of odd order

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In this paper, we prove that a finite group with a splitting automorphism of odd order is solvable. By using this result, we prove that a locally finite group with a splitting automorphism of odd order is locally solvable.

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Authors and Affiliations

  1. Department of Mathematics, Mimar Sinan Fine Arts University, Istanbul, 34427, Turkey

    Kıvanç Ersoy

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  1. Kıvanç Ersoy
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Correspondence to Kıvanç Ersoy.

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Ersoy, K. Finite groups with a splitting automorphism of odd order. Arch. Math. 106, 401–407 (2016). https://doi.org/10.1007/s00013-016-0874-6

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  • DOI: https://doi.org/10.1007/s00013-016-0874-6

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