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Indecomposable Sylow 2-Subgroups of Simple Groups

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Abstract

Let S be a Sylow 2-subgroup of a finite simple group and let S=S 1×S 2×⋅⋅⋅×S k be the direct product and each component S i, i=1,2,. . .,k is indecomposable. In this article, we prove that each S i is also a Sylow 2-subgroup of some simple group.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, Columbus, OH, 43210, USA

    Koichiro Harada

  2. Department of Mathematics, National University of Singapore, Singapore

    Mong Lung Lang

Authors
  1. Koichiro Harada
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  2. Mong Lung Lang
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Correspondence to Koichiro Harada.

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Mathematics Subject Classifications (2000)

20E32, 20D20.

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Harada, K., Lang, M.L. Indecomposable Sylow 2-Subgroups of Simple Groups. Acta Appl Math 85, 161–194 (2005). https://doi.org/10.1007/s10440-004-5618-0

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  • DOI: https://doi.org/10.1007/s10440-004-5618-0

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