A class of semiprimitive groups that are graph-restrictive

Michael Giudici; Luke Morgan

doi:10.1112/blms/bdu076

A class of semiprimitive groups that are graph-restrictive

Michael Giudici, Luke Morgan

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Abstract

We prove that an infinite family of semiprimitive groups is graph-restrictive. This adds to the evidence for the validity of the Potočnik–Spiga–Verret Conjecture and increases the minimal imprimitive degree for which this conjecture is open to 12. Our result can be seen as a generalization of the well-known theorem of Tutte on cubic graphs. The proof uses the amalgam method, adapted to this new situation.

Original language	English
Pages (from-to)	1226-1236
Journal	Bulletin of the London Mathematical Society
Volume	46
Issue number	6
Early online date	4 Sep 2014
DOIs	https://doi.org/10.1112/blms/bdu076
Publication status	Published - Dec 2014

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This is a pre-copyedited, author-produced PDF of an article accepted for publication in Bulletin of the London Mathematical Society following peer review. The version of record Giudici, M., & Morgan, L. (2014). A class of semiprimitive groups that are graph-restrictive. Bulletin of the London Mathematical Society, 46(6), 1226-1236 is available online at: http://dx.doi.org/10.1112/blms/bdu076
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A class of semiprimitive groups that are graph-restrictive

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