Two-sided crossed products of groups-Reference-Cited by-同舟云学术

Two-sided crossed products of groups

Published:2016 Issue:4 Volume:30 Page:1005-1012
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Cetinalp Esra¹,Karpuz Eylem¹,Ates Firat²,Cevik Sinan³

Affiliation:

1. Karamanoğlu Mehmetbey University, Faculty of Science, Department of Mathematics, Campus, Karaman, Turkey

2. Balikesir University, Faculty of Science, Department of Mathematics, Campus, Balikesir, Turkey

3. Selcuk University, Faculty of Science, Department of Mathematics, Campus, Konya, Turkey

Abstract

In this paper, we first define a new version of the crossed product of groups under the name of two-sided crossed product. Then we present a generating and relator sets for this new product over cyclic groups. In a separate section, by using the monoid presentation of the two-sided crossed product of cyclic groups, we obtain the complete rewriting system and normal forms of elements of this new group construction.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. n-Generalized Schützenberger-Crossed Product of Monoids;Ukrainian Mathematical Journal;2024-07

2. The n -Generalized Schützenberger-crossed product of monoids;Ukrains’kyi Matematychnyi Zhurnal;2024-02-28

3. Some remarks on the Schützenberger product of n monoids;Ricerche di Matematica;2022-10-15

4. Crossed product of infinite groups and complete rewriting systems;TURKISH JOURNAL OF MATHEMATICS;2021-01-21

5. ON THE GEOMETRY OF THE CROSSED PRODUCT OF GROUPS;B KOREAN MATH SOC;2021