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Fundamentalnaya i Prikladnaya Matematika, 2024, Volume 25, Issue 1, Pages 251–254
(Mi fpm1970)
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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
A. I. Shternabc
a Moscow Center for Fundamental and Applied Mathematics
b Lomonosov Moscow State University
c Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow
Abstract:
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.
Citation:
A. I. Shtern, “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”, Fundam. Prikl. Mat., 25:1 (2024), 251–254
Linking options:
https://www.mathnet.ru/eng/fpm1970 https://www.mathnet.ru/eng/fpm/v25/i1/p251
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| Statistics & downloads: |
| Abstract page: | 45 | | Full-text PDF : | 20 | | References: | 13 |
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Citation in format AMSBIB
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