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A class of semiprimitive groups that are graph-restrictive

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

preprint2014arXivOpen access
Michael GiudiciLuke Morgan
math.COmath.GR
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Michael GiudiciLuke Morgan

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