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Suborbit Structure of Permutation $p$-Groups and an Application to Cayley Digraph Isomorphism
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $P$ be a transitive permutation group of order ${{p}^{m}},\,p$ an odd prime, containing a regular cyclic subgroup. The main result of this paper is a determination of the suborbits of $P$. The main result is used to give a simple proof of a recent result by J. Morris on Cayley digraph isomorphisms.
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- Copyright © Canadian Mathematical Society 2004
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