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#Sylow subgroups
2 resultsmath.GR2019
Bounding the maximal size of independent generating sets of finite groups
Andrea Lucchini, Mariapia Moscatiello, Pablo Spiga
The authors bound the maximal size of a minimal generating set of a finite group using the sum of the minimal numbers of generators of its Sylow subgroups.
#finite groups#generating sets#Sylow subgroups#minimal generators
math.GR2019
On zeros of irreducible characters lying in a normal subgroup
M. J. Felipe, N. Grittini, V. Sotomayor
The paper investigates elements of a normal subgroup of a finite group that are non‑vanishing for all irreducible characters, proving that if every p‑element has this property then…
#character theory#finite groups#normal subgroups#Sylow subgroups