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 |
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Pages (from-to) | 1226-1236 |
Journal | Bulletin of the London Mathematical Society |
Volume | 46 |
Issue number | 6 |
Early online date | 4 Sep 2014 |
DOIs | |
Publication status | Published - Dec 2014 |