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11.27 (1990)

Solved

What are the minimum numbers of generators for groups $G$ satisfying $S \leqslant G \leqslant \text{Aut}\,S$ where $S$ is a finite simple non-abelian group?

Contributor: K. Gruenberg

Progress

The number $d(G)$ is found (mod CFSG) for every such a group $G$. In particular, $d(G) = \max\{2, d(G/S)\}$ and $d(G) \leqslant 3$ (F. Dalla Volta, A. Lucchini, J. Algebra, 178, no. 1 (1995), 144–223).

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