The structure of $3$-pyramidal groups
Group Theory
2023-02-28 v2 Combinatorics
Abstract
A combinatorial block design is called -pyramidal if there exists a subgroup of fixing points and acting regularly on the other points. If this happens, we say that the design is -pyramidal under . In case is a Kirkman triple system, it is known that such a group has precisely involutions, all conjugate to each other. In this paper, we obtain a classification of the groups with this property.
Cite
@article{arxiv.2302.12285,
title = {The structure of $3$-pyramidal groups},
author = {Xiaofang Gao and Martino Garonzi},
journal= {arXiv preprint arXiv:2302.12285},
year = {2023}
}