On Behaviors of Maximal Dimension

2018/01/25 by Niu, Wenjun
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1801.08327

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× 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.

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