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The center of a pseudocharacter

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We introduce the notion of center of a pseudocharacter on a group, prove that this set is a normal subgroup of the group, and show that the center of a pseudocharacter contains the maximal normal subgroup in the kernel of the pseudocharacter.

Abstract

We introduce the notion of center of a pseudocharacter on a group, prove that this set is a normal subgroup of the group, and show that the center of a pseudocharacter contains the maximal normal subgroup in the kernel of the pseudocharacter.

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