Skew-morphisms of cyclic p-groups

被引：12

作者：

Kovacs, Istvan ^{[1
]}

Nedela, Roman ^{[2
,3
]}

机构：

[1] Univ Primorska, IAM & FAMNIT, Glagoljaska 8, Koper 6000, Slovenia

[2] Univ West Bohemia, NTIS, Fac Appl Sci, Tech 8, Plzen 30614, Czech Republic

[3] Slovak Acad Sci, Inst Math, Dumbierska 1, Banska Bystrica 97411, Slovakia

来源：

JOURNAL OF GROUP THEORY | 2017年 / 20卷 / 06期

关键词：

REGULAR CAYLEY MAPS;

D O I：

10.1515/jgth-2017-0015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group having a factorisation G = AB into subgroups A and B with B cyclic and A boolean AND B = 1, and let b be a generator of B. The associated skew-morphism is the bijective mapping f : A -> A well-defined by the equality ba B = f (a) B, where a is an element of A. In this paper, we shall classify all skew-morphisms of cyclic p-groups, where p is an odd prime.

引用

页码：1135 / 1154

页数：20

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