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math.GR2012
Normal coverings and pairwise generation of finite alternating and symmetric groups
Daniela Bubboloni, Cheryl E. Praeger, Pablo Spiga
The normal covering number of a finite, non-cyclic group is the least number of proper subgroups such that each element of lies in some conjugate of one of these sub…
math.NT2012
Compositions of n Satisfying Some Coprimality Conditions
Daniela Bubboloni, Florian Luca, Pablo Spiga
A k-composition of n is a sequence of length k of positive integers summing up to n. In this paper, we investigate the number of k-compositions of n satisfying two natural coprimal…