喀什大学学报2024,Vol.45Issue(6) :14-17.DOI:10.13933/j.cnki.2096-2134.2024.06.003

pm阶模群到一类4q2阶非交换群间的同态个数

The Numeber of Homomorphisms between pm-Order Modular Group and a Class of 4q2-Order Non-Abelian Group

陈春良 张良
喀什大学学报2024,Vol.45Issue(6) :14-17.DOI:10.13933/j.cnki.2096-2134.2024.06.003

pm阶模群到一类4q2阶非交换群间的同态个数

The Numeber of Homomorphisms between pm-Order Modular Group and a Class of 4q2-Order Non-Abelian Group

陈春良 1张良1
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作者信息

  • 1. 伊犁师范大学数学与统计学院,新疆伊宁 835000
  • 折叠

摘要

利用群元素的生成关系,计算了pm阶模群到4q2 阶非交换群的同态个数,并通过实例验证了同态个数满足T.Asai和T.Yoshida猜想的同余关系式.

Abstract

Utilizing the generative relationships of group Elements and calculated the number of homomorphisms from a class of pm-order modular groups is calulated.As an application,the number of homomorphisms satisfies the congruence relationship of T.Asai and T.Yoshida conjecture

关键词

4q2阶非交换群/模群/群同态

Key words

4q2order non-abelian group/modular group/group homomorphism

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出版年

2024
喀什大学学报
喀什师范学院

喀什大学学报

CHSSCD
影响因子:0.178
ISSN:2096-2134
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