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.
Given a finite non-cyclic group G, call σ(G) the least number of proper subgroups of G needed to cover G. In this article, we give lower and upper bounds for σ(G) for G a group with a unique minimal normal subgroup N isomorphic to Amn where n ≥ 5 and G/N is cyclic. We also show that σ(A5{wreath product}C2) = 57. © 2013 Copyright Taylor and Francis Group, LLC.
Covering Certain Monolithic Groups with Proper Subgroups
GARONZI, MARTINO
2013
Abstract
Given a finite non-cyclic group G, call σ(G) the least number of proper subgroups of G needed to cover G. In this article, we give lower and upper bounds for σ(G) for G a group with a unique minimal normal subgroup N isomorphic to Amn where n ≥ 5 and G/N is cyclic. We also show that σ(A5{wreath product}C2) = 57. © 2013 Copyright Taylor and Francis Group, LLC.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
