Involution Graphs where the Product of two Adjacent Vertices has order three

Alice Devillers; Michael Giudici

doi:10.1017/S1446788708000839

Involution Graphs where the Product of two Adjacent Vertices has order three

Alice Devillers, Michael Giudici

Graduate Research School

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

9 Citations (Scopus)

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Abstract

An S3-involution graph for a group G is a graph with vertex set a union of conjugacy classes of involutions of G such that two involutions are adjacent if they generate an S3-subgroup in a particular set of conjugacy classes. We investigate such graphs in general and also for the case where G=PSL(2,q).

Original language	English
Pages (from-to)	305-322
Journal	Journal of the Australian Mathematical Society
Volume	85
DOIs	https://doi.org/10.1017/S1446788708000839
Publication status	Published - 2008

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title = "Involution Graphs where the Product of two Adjacent Vertices has order three",

abstract = "An S3-involution graph for a group G is a graph with vertex set a union of conjugacy classes of involutions of G such that two involutions are adjacent if they generate an S3-subgroup in a particular set of conjugacy classes. We investigate such graphs in general and also for the case where G=PSL(2,q).",

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AU - Giudici, Michael

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AB - An S3-involution graph for a group G is a graph with vertex set a union of conjugacy classes of involutions of G such that two involutions are adjacent if they generate an S3-subgroup in a particular set of conjugacy classes. We investigate such graphs in general and also for the case where G=PSL(2,q).

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DO - 10.1017/S1446788708000839

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VL - 85

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JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

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Involution Graphs where the Product of two Adjacent Vertices has order three

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