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Search: MSC category 05C60 ( Isomorphism problems (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) )

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1. CMB 2004 (vol 47 pp. 161)

Alspach, Brian; Du, Shaofei
Suborbit Structure of Permutation $p$-Groups and an Application to Cayley Digraph Isomorphism
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.

Categories:20B25, 05C60

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