Towards the standard Majorana representations of 3-transposition groups
Representation Theory
2022-03-22 v1 Group Theory
Abstract
In this paper, we discuss 3-transposition groups. In particular, we find sizes of maximal symmetric subgroups of the groups, which are in Fischer 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.
Keywords
Cite
@article{arxiv.2203.10801,
title = {Towards the standard Majorana representations of 3-transposition groups},
author = {Albert Gevorgyan},
journal= {arXiv preprint arXiv:2203.10801},
year = {2022}
}
Comments
Submitted to the "Journal of Combinatorial Theory, Series A", currently under review