A note on the Weiss conjecture

Nick Gill

doi:10.1017/S144678871300030X

A note on the Weiss conjecture

Nick Gill

Faculty of Computing, Engineering and Science

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

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Abstract

Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.

Original language	English
Pages (from-to)	356-361
Number of pages	6
Journal	Journal of the Australian Mathematical Society
Volume	95
DOIs	https://doi.org/10.1017/S144678871300030X
Publication status	Published - 15 Mar 2013

Keywords

math.GR
math.CO
20B25, 05C50

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10.1017/S144678871300030X

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title = "A note on the Weiss conjecture",

abstract = "Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.",

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author = "Nick Gill",

note = "5 pages. Submitted",

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doi = "10.1017/S144678871300030X",

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AB - Let $G$ be a finite group acting vertex-transitively on a graph. We show that bounding the order of a vertex stabilizer is equivalent to bounding the second singular value of a particular bipartite graph. This yields an alternative formulation of the Weiss Conjecture.

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KW - math.CO

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EP - 361

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

ER -

A note on the Weiss conjecture

Abstract

Keywords

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