For a finite non cyclic group G, let gamma(G) be the smallest integer k such that G contains k proper subgroups H (1), . . . , H (k) with the property that every element of G is contained in H(i)(g) for some i is an element of {1, ..., k} and g G. We prove that for every n >= 2, there exists a finite solvable group G with gamma(G) = n.
Normal coverings of solvable groups
CRESTANI, ELEONORA;LUCCHINI, ANDREA
2011
Abstract
For a finite non cyclic group G, let gamma(G) be the smallest integer k such that G contains k proper subgroups H (1), . . . , H (k) with the property that every element of G is contained in H(i)(g) for some i is an element of {1, ..., k} and g G. We prove that for every n >= 2, there exists a finite solvable group G with gamma(G) = n.File in questo prodotto:
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