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Maximal cyclic subgroups and prime divisors in finite groups

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Abstract.

Let G be a finite group with no chief factor simple of Lie type E 8(q) and C a cyclic subgroup of largest order in G. It is shown that at most two primes in the open interval ([|C|/2], |C|) divide |G|.

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Authors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Z. Arad

  2. Department of Computer Science and Mathematics, Netanya Academic College, Netanya, Israel

    Z. Arad

  3. Institut für Analysis und Scientific Computing, Technische Universität, A-1040, Wien, Austria

    W. Herfort

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  1. Z. Arad
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  2. W. Herfort
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Correspondence to Z. Arad.

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Received: 14 January 2005

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Arad, Z., Herfort, W. Maximal cyclic subgroups and prime divisors in finite groups. Arch. Math. 85, 31–36 (2005). https://doi.org/10.1007/s00013-005-1449-6

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  • DOI: https://doi.org/10.1007/s00013-005-1449-6

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