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- W2056994767 abstract "Let G be a non-cyclic finite group that can be generated by two elements. A subset S of G is said to be a pairwise generating set for G if every distinct pair of elements in S generates G. The maximal size of a pairwise generating set for G is denoted by ω(G). The minimal number of proper subgroups of G whose union is G is denoted by σ(G). This is an upper bound for ω(G). In this paper we give lower bounds for ω(G) and upper bounds for σ(G) whenever G is a sporadic simple group." @default.
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- W2056994767 date "2010-07-01" @default.
- W2056994767 modified "2023-10-17" @default.
- W2056994767 title "Pairwise generating and covering sporadic simple groups" @default.
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- W2056994767 doi "https://doi.org/10.1016/j.jalgebra.2009.10.011" @default.
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