On an Inequality of Dimension-like Invariants for Finite Groups

Published 2 Feb 2015 in math.GR | (1502.00360v1)

Abstract: In this paper, we introduce several notions of "dimension" of a finite group, involving sizes of generating sets and certain configurations of maximal subgroups. We focus on the inequality $m(G) \leq \mathrm{MaxDim}(G)$, giving a family of examples where the inequality is strict, and showing that equality holds if $G$ is supersolvable.

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Ravi Fernando

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