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<p>We prove a&#xa0;criterion for a&#xa0;given unitary character on a&#xa0;normal subgroup of a&#xa0;group that is a&#xa0;product of this normal subgroup and some subgroup to have an extension to a&#xa0;pure one-dimensional pseudorepresentation of the whole group.</p>

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CRITERION FOR THE EXTENDABILITY OF A UNITARY CHARACTER ON A NORMAL SUBGROUP OF A PRODUCT GROUP TO A PURE ONE-DIMENSIONAL PSEUDOREPRESENTATION OF THE GROUP

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • A. I. Shtern

摘要

We prove a criterion for a given unitary character on a normal subgroup of a group that is a product of this normal subgroup and some subgroup to have an extension to a pure one-dimensional pseudorepresentation of the whole group.