“School of Mathematics”
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| Paper IPM / M / 8557 |
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| Abstract: | |
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Let G be a group that is a set-theortic union of finitely many
proper subgroups. Cohn defined σ(G) to be the least integer
m such that G is the union of m proper subgroups.
Determining σ is an open problem for most non-solvable
groups. In this paper we give a formula σ(G), where G is
a completely reducible group.
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