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
Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 251-254
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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.
@article{FPM_2024_25_1_a14,
author = {A. I. Shtern},
title = {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},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {251--254},
publisher = {mathdoc},
volume = {25},
number = {1},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a14/}
}
TY - JOUR AU - A. I. Shtern TI - 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 JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2024 SP - 251 EP - 254 VL - 25 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a14/ LA - ru ID - FPM_2024_25_1_a14 ER -
%0 Journal Article %A A. I. Shtern %T 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 %J Fundamentalʹnaâ i prikladnaâ matematika %D 2024 %P 251-254 %V 25 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a14/ %G ru %F FPM_2024_25_1_a14
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. Fundamentalʹnaâ i prikladnaâ matematika, Tome 25 (2024) no. 1, pp. 251-254. http://geodesic.mathdoc.fr/item/FPM_2024_25_1_a14/