Listar por autoría "511cf203-28e6-4655-a8ae-db845b65d942"
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Existence of normal Hall subgroups by means of orders of products
Beltrán, Antonio; Sáez, Azahara Wiley-VCH Verlag (2018)Let G be a finite group, let π be a set of primes and let p be a prime. We characterize the existence of a normal Hall π‐subgroup in G in terms of the order of products of certain elements of G. This theorem generalizes a ... -
Order of products of elements in finite groups
Beltrán, Antonio; Lyons, Richard; Moretó, Alexander; Navarro, Gabriel; Sáez, Azahara; Tiep, Pham Huu Wiley (2018-10)If G is a finite group, p is a prime, and x∈G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p‐elements y of G.