Bounding the size of permutation groups and complex linear groups of odd order

Geoffrey R. Robinson

doi:10.1016/j.jalgebra.2011.03.006

Bounding the size of permutation groups and complex linear groups of odd order

Geoffrey R. Robinson

Mathematical Science

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

1 Citation (Scopus)

Abstract

We provide improved bounds for the order of finite odd order permutation groups and complex linear groups, expressed in terms of the smallest prime divisor of the group order.

Original language	English
Pages (from-to)	163-170
Number of pages	8
Journal	Journal of Algebra
Volume	335
Issue number	1
Early online date	2 Apr 2011
DOIs	https://doi.org/10.1016/j.jalgebra.2011.03.006
Publication status	Published - 1 Jun 2011

Keywords

permutation groups
linear groups

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10.1016/j.jalgebra.2011.03.006

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title = "Bounding the size of permutation groups and complex linear groups of odd order",

abstract = "We provide improved bounds for the order of finite odd order permutation groups and complex linear groups, expressed in terms of the smallest prime divisor of the group order.",

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AB - We provide improved bounds for the order of finite odd order permutation groups and complex linear groups, expressed in terms of the smallest prime divisor of the group order.

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DO - 10.1016/j.jalgebra.2011.03.006

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VL - 335

SP - 163

EP - 170

JO - Journal of Algebra

JF - Journal of Algebra

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Bounding the size of permutation groups and complex linear groups of odd order

Abstract

Keywords

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