Let G be the alternating group Alt(n) on n letters. We prove that for any ε> 0 , there exists N= N(ε) ∈ N such that whenever n≥ N and A, B, C, D are normal subsets of G each of size at least | G| 1/2+ε, then ABCD= G.
Alternating groups as products of four conjugacy classes
Garonzi, Martino
;
2021
Abstract
Let G be the alternating group Alt(n) on n letters. We prove that for any ε> 0 , there exists N= N(ε) ∈ N such that whenever n≥ N and A, B, C, D are normal subsets of G each of size at least | G| 1/2+ε, then ABCD= G.File in questo prodotto:
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