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Some other algebraic properties of folded hypercubes

By S. Morteza Mirafzal


We construct explicity the automorphism group of the folded hypercube $FQ_n$ of dimension $n>3$, as a semidirect product of $N$ by $M$, where $N$ is isomorphic to the Abelian group $Z_2^n$, and $M$ is isomorphic to $Sym(n+1)$, the symmetric group of degree $n+1$, then we will show that the folded hypercube $FQ_n$ is a symmetric graph.Comment: to appear in Ars Combinatori

Topics: Mathematics - Group Theory, Mathematics - Combinatorics, 05C25, 94C15
Year: 2011
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