Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups
Journal of Siberian Federal University - Mathematics and Physics, vol.15, no.4, pp.537-544, 2022 (ESCI, Scopus)
- 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.