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arXiv · 1801.08327

On Behaviors of Maximal Dimension

Wenjun Niu
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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.

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Wenjun Niu. 2018-01-25. On Behaviors of Maximal Dimension. https://arxiv.org/abs/1801.08327

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