On the Ranks of Finite Simple Groups
On the Ranks of Finite Simple Groups
Summary: Let \(G\) be a finite group and let \(X\) be a conjugacy class of \(G\). The \textit{rank} of \(X\) in \(G\), denoted by \(\operatorname{rank}(G:X)\) is defined to be the minimal number of elements of \(X\) generating \(G\). In this paper we review the basic results on generation of finite simple groups and we survey the recent developments on computing the ranks of finite simple groups.
- North-West University South Africa
Ordinary representations and characters, rank, generation, Finite simple groups and their classification, sporadic groups, simple groups, Conjugacy classes for groups, Simple groups: sporadic groups, conjugacy classes
Ordinary representations and characters, rank, generation, Finite simple groups and their classification, sporadic groups, simple groups, Conjugacy classes for groups, Simple groups: sporadic groups, conjugacy classes
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