Tensor quasi-random groups
Copyright policy )Tensor quasi-random groups
Gowers [Combin. Probab. Comput. 17 (2008), pp. 363–387] elegantly characterized the finite groups G G in which A 1 A 2 A 3 = G A_1A_2A_3=G for any positive density subsets A 1 , A 2 , A 3 A_1,A_2,A_3 . This property, quasi-randomness , holds if and only if G G does not admit a nontrivial irreducible representation of constant dimension. We present a dual characterization of tensor quasi-random groups in which multiplication of subsets is replaced by tensor product of representations.
- Department of Mathematics Stanford University United States
- Stanford University United States
Ordinary representations and characters, Combinatorial aspects of representation theory, Probabilistic methods in group theory, FOS: Mathematics, Group Theory (math.GR), Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
Ordinary representations and characters, Combinatorial aspects of representation theory, Probabilistic methods in group theory, FOS: Mathematics, Group Theory (math.GR), Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory
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