The Automorphism Group of a Hypercube
Дата
Авторы
Harary,Frank
Journal Title
Journal ISSN
Volume Title
Издатель
Journal of Universal Computer Science
Аннотация
Описание
We present explicitly in this expository note the automorphism group of the hypercube Qd of dimension d as a permutation group acting on its 2d nodes. This group (Qd) acts on the node set Vd of Qd and thus has degree 2d. It is expressed as the binary operation called exponentiation which combines the two symmetric groups S2 (of degree and order 2) and Sd (of degree d and order d!). Specifically, (Qd) = [S2]Sd. has order 2dd!. 1 C.S.Calude and G.Stefanescu (eds.). Automata, Logic, and Computability. Special issue dedicated to Professor Sergiu Rudeanu Festschrift.
Ключевые слова
automorphism group , hypercube , permutation graph