Clique number of the commuting graph of TI-subgroups in linear group

Clique number of the commuting graph of TI-subgroups in linear group

Kudinov A. A., Zyulyarkina N. D.
Siberian Electronic Mathematical Reports, 22, 1, pp. 540-551 (2025)
Full-text

УДК 519.17, 512.54 
DOI: 10.33048/semi.2025.22.036  
MSC 20H20, 05C69

Abstract:

In the paper we study the commuting graph of a cyclic TI-subgroup $A$ of order 4 in a group $G$ with the structure\linebreak $G=F^*(G)A$ where $F^*(G)$ is a quasisimple linear group over field of odd characteristic. The clique number of this graph is found.

 

Keywords:  finite linear group, quotient group, TI-subgroup, commuting graph.