Given a finite non-cyclic group G, call G the least number of proper subgroups of G needed to cover G. In this article, we give lower and upper bounds for G for G a group with a unique minimal normal subgroup N isomorphic to Alt(m)^n where n ≥ 5 and G/N is cyclic. We also show that s(A5wrC2) = 57.
Covering Certain Monolithic Groups with Proper Subgroups
GARONZI, MARTINO
2013
Abstract
Given a finite non-cyclic group G, call G the least number of proper subgroups of G needed to cover G. In this article, we give lower and upper bounds for G for G a group with a unique minimal normal subgroup N isomorphic to Alt(m)^n where n ≥ 5 and G/N is cyclic. We also show that s(A5wrC2) = 57.File in questo prodotto:
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