Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups

Güven, Ülviye

doi:10.17516/1997-1397-2022-15-4-537-544

Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups

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Güven Ü. B.

Journal of Siberian Federal University - Mathematics and Physics, vol.15, no.4, pp.537-544, 2022 (ESCI)

Publication Type: Article / Article
Volume: 15 Issue: 4
Publication Date: 2022
Doi Number: 10.17516/1997-1397-2022-15-4-537-544
Journal Name: Journal of Siberian Federal University - Mathematics and Physics
Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
Page Numbers: pp.537-544
Keywords: Centralizer, simple locally finite, diagonal embedding, level-preserving
Middle East Technical University Affiliated: Yes

Abstract

© Siberian Federal University. All rights reserved.Centralizers of finite subgroups in the direct limit of the finite and finitary symmetric groups via strictly diagonal embeddings is characterized in 2015 by Güven, Kegel and Kuzucuoğlu. In this paper this idea is extended to the case of diagonal embeddings. In addition, a new class of infinite limit monomial groups is constructed via diagonal embedding.