GROUP PSEUDOREPRESENTATIONS THAT ARE TRIVIAL ON A NORMAL SUBGROUP
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초록
Continuing the study of general group pseudorepresentations, we prove that, if π is a pseudorepresentation of a group G in a Banach space E with sufficiently small defect and if N is a normal subgroup of G for which π(n) = 1|E for all n ∈ N, then there is a pseudorepresentation ρ of the quotient group G/N such that the pseudorepresentation π is locally equivalent to the pseudorepresentation of G defined by the rule g → ρ(gN), g ∈ G.
Abstract
Continuing the study of general group pseudorepresentations, we prove that, if π is a pseudorepresentation of a group G in a Banach space E with sufficiently small defect and if N is a normal subgroup of G for which π(n) = 1|E for all n ∈ N, then there is a pseudorepresentation ρ of the quotient group G/N such that the pseudorepresentation π is locally equivalent to the pseudorepresentation of G defined by the rule g → ρ(gN), g ∈ G.
참고문헌 (8)
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