MaxDim of some simple groups
Group Theory
2017-12-14 v1
Abstract
MaxDim, along with it relatives m and i, are group invariants analogous to the concept of dimension in vector spaces. In this paper we give the following result on the MaxDim of sporadic groups: 1. An inductive argument for the lower bounds of the MaxDim of those groups in the Suzuki tower, utilizing the fact that those groups act on strongly regular graphs. 2. A detailed computation of the MaxDim of Mathieu 24 group, utilizing the fact that it acts as automorphisms of Steiner system. 3. Estimations of the MaxDim for McLaughlin and Higmann-Sims Group.
Cite
@article{arxiv.1712.04553,
title = {MaxDim of some simple groups},
author = {Tianyue Liu and R. Keith Dennis},
journal= {arXiv preprint arXiv:1712.04553},
year = {2017}
}
Comments
13 pages, 1 figure, report for SPUR program at Cornell University, 2017