三类自生数群

Three Groups Of Automorphic Numbers

本文证明了:末位数字为1,3,7,9(2,4,6,8或5)的n位自生数的集合nG(nH或nS)关于模n10的乘法*是一个交换群。

In this pqper we proved that The Set Gn(Hn or Sn) of n-bit automorphic numbers whose last digits are 1,3,7,9(2,4,6,8 or 5) is a commutative group for the multiplication * of modulus 10n.