Maximal cyclic subgroups and prime divisors in finite groups

Z. Arad; W. Herfort

doi:10.1007/s00013-005-1449-6

Maximal cyclic subgroups and prime divisors in finite groups

Z. Arad, W. Herfort

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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|.

Original language	English
Pages (from-to)	31-36
Number of pages	6
Journal	Archiv der Mathematik
Volume	85
Issue number	1
DOIs	https://doi.org/10.1007/s00013-005-1449-6
State	Published - Jul 2005

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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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Maximal cyclic subgroups and prime divisors in finite groups

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