New constructions of groups without semiregular subgroups

Michael Giudici

doi:10.1080/00927870701353357

New constructions of groups without semiregular subgroups

Michael Giudici

Graduate Research School

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

20 Citations (Web of Science)

Abstract

An elusive permutation group is a transitive permutation group with no fixed point free elements of prime order, or equivalently, no nontrivial semiregular subgroups. We provide several new constructions of elusive groups, some of which enable us to build elusive groups with new degrees.

Original language	English
Pages (from-to)	2719-2730
Journal	Communications in Algebra
Volume	35
Issue number	9
DOIs	https://doi.org/10.1080/00927870701353357
Publication status	Published - 2007

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10.1080/00927870701353357

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title = "New constructions of groups without semiregular subgroups",

abstract = "An elusive permutation group is a transitive permutation group with no fixed point free elements of prime order, or equivalently, no nontrivial semiregular subgroups. We provide several new constructions of elusive groups, some of which enable us to build elusive groups with new degrees.",

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DO - 10.1080/00927870701353357

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EP - 2730

JO - Communications in Algebra

JF - Communications in Algebra

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New constructions of groups without semiregular subgroups

Abstract

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