On Behaviors of Maximal Dimension
Group Theory
2018-01-29 v2
Abstract
In this paper, we investigate behaviors of Maximal Dimension, a group invariant involving certain configuration of maximal subgroups, which we denote by MaxDim. We prove that in some special cases, MaxDim(G\times H) = MaxDim(G) + MaxDim(H). We also prove a conjecture stated by Ellie Thieu which shows that groups with m < MaxDim can be constructed from groups with m < i.
Cite
@article{arxiv.1801.08327,
title = {On Behaviors of Maximal Dimension},
author = {Wenjun Niu},
journal= {arXiv preprint arXiv:1801.08327},
year = {2018}
}
Comments
16 pages