Some other algebraic properties of folded hypercubes

Details Some other algebraic properties of folded hypercubes Some other algebraic properties of folded hypercubes

2011-03-22

arxiv.org/abs/1103.4351v1

Mathematics

Group Theory

to appear in Ars Combinatoria

Scientific paper

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.

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