Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups
Journal of Siberian Federal University - Mathematics and Physics, cilt.15, sa.4, ss.537-544, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 4
- Basım Tarihi: 2022
- Doi Numarası: 10.17516/1997-1397-2022-15-4-537-544
- Dergi Adı: Journal of Siberian Federal University - Mathematics and Physics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.537-544
- Anahtar Kelimeler: Centralizer, simple locally finite, diagonal embedding, level-preserving
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
© 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.