Year: 2025
Type: article
Abstract: In this paper, we discuss 3-transposition groups. In particular, we find sizes of maximal symmetric subgroups of these groups, which are in Fischer's list. In addition, we build faithful representations of symmetric groups in orthogonal, symplectic, and unitary spaces, which fully verify the main result. Thus, we find candidate groups for which one may be able to build standard Majorana representations.
Source: Algebra Colloquium
Author: Albert Gevorgyan
Institution: Imperial College London
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Imperial College London
OpenAlex ID: W4408179946