Journal of Siberian Federal University. Mathematics & Physics / Centralizers in the Diagonal Direct Limits of the Symmetric Groups and of the Monomial Groups

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (4)
Authors
G¨uven, Ulviye B.
Contact information
G¨uven, Ulviye B.: Department of Mathematics Middle East Technical University Ankara, Turkey;
Keywords
Centralizer; simple locally finite; diagonal embedding; level-preserving
Abstract

Centralizers of finite subgroups in the direct limit of the finite and finitary symmetric groups via strictly diagonal embeddings is characterized in 2015 by G¨uven, Kegel and Kuzucuo˘glu. 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

Pages
537–544
DOI
10.17516/1997-1397-2022-15-4-537-544
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/147483