Geodesic
Suborbit Structure of Permutation $p$ -Groups and an Application to Cayley Digraph Isomorphism
Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 161-167

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DOI

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.
DOI : 10.4153/CMB-2004-017-9
Mots-clés : 20B25, 05C60 
Alspach, Brian; Du, Shaofei. Suborbit Structure of Permutation $p$ -Groups and an Application to Cayley Digraph Isomorphism. Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 161-167. doi: 10.4153/CMB-2004-017-9
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     author = {Alspach, Brian and Du, Shaofei},
     title = {Suborbit {Structure} of {Permutation} $p$ {-Groups} and an {Application} to {Cayley} {Digraph} {Isomorphism}},
     journal = {Canadian mathematical bulletin},
     pages = {161--167},
     year = {2004},
     volume = {47},
     number = {2},
     doi = {10.4153/CMB-2004-017-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-017-9/}
}
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