TY - JOUR
T1 - Normal edge-transitive Cayley graphs of Frobenius groups
AU - Corr, B.P.
AU - Praeger, Cheryl
PY - 2015
Y1 - 2015
N2 - © 2015, Springer Science+Business Media New York. A Cayley graph for a group G is called normal edge-transitive if it admits an edge-transitive action of some subgroup of the holomorph of G [the normaliser of a regular copy of G in $${{\mathrm{Sym}}}(G)$$Sym(G)]. We complete the classification of normal edge-transitive Cayley graphs of order a product of two primes by dealing with Cayley graphs for Frobenius groups of such orders. We determine the automorphism groups of these graphs, proving in particular that there is a unique vertex-primitive example, namely the flag graph of the Fano plane.
AB - © 2015, Springer Science+Business Media New York. A Cayley graph for a group G is called normal edge-transitive if it admits an edge-transitive action of some subgroup of the holomorph of G [the normaliser of a regular copy of G in $${{\mathrm{Sym}}}(G)$$Sym(G)]. We complete the classification of normal edge-transitive Cayley graphs of order a product of two primes by dealing with Cayley graphs for Frobenius groups of such orders. We determine the automorphism groups of these graphs, proving in particular that there is a unique vertex-primitive example, namely the flag graph of the Fano plane.
UR - https://www.scopus.com/pages/publications/84942982986
U2 - 10.1007/s10801-015-0603-4
DO - 10.1007/s10801-015-0603-4
M3 - Article
SN - 0925-9899
VL - 42
SP - 803
EP - 827
JO - Journal of Algebraic Combinatorics
JF - Journal of Algebraic Combinatorics
IS - 3
ER -