k-方体的全自同构群(英文)  

The Full Automorphism Group of the k-cube

作　　者：安新慧[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2005年第2期144-146,共3页Journal of Xinjiang University(Natural Science Edition)

摘　　要：设Qk是k-方体,Aut(Qk)是Qk的自同构群,在[1 ]中,C.Godsil和G.Royle给出了Aut(Qk)的子群,并且进一步推导出|Aut(Qk) |≥2 k .k!.在这篇文章中,我们将给出QkLet Q_k be a k-cube and Aut(Q_k) be the automorphism group of Q_k. In , C. Godsil and G. Royle gave a subgroup of Aut(Q_k) and deduced further that |Aut(Q_k)|≥2~k·k!. In this paper, we completely determine the full automorphism group of Q_k.

关 键 词：CAYLEY图 k-方体 自同构群 

分 类 号：O157.5[理学—数学]