模$p^{s}$高斯整数环上一些图的自同构群

Automorphism Groups of Some Graphs for the Ring of Gaussian Integers Modulo $p^{s}$

中文关键词:  自同构  单位图  单位凯莱图  高斯整数

英文关键词:automorphism  unit graph  unitary Cayley graph  Gaussian integers

中文摘要:

      在本文中,我们完全刻画了模素数方幂高斯整数环上的单位凯莱图、单位图以及全图的自同构群.

英文摘要:

      In this paper, the automorphism group is completely determined, of the unitary Cayley graph, the unit graph and the total graph, over the ring of Gaussian integers modulo a prime power.