On projective representations of finitely generated groups

We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations are finite dimensional.

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Bibliographic Details
Published in:	Communications in algebra Vol. 51; no. 5; pp. 1994 - 2003
Main Authors:	Hatui, Sumana, Narayanan, E. K., Singla, Pooja
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 04-05-2023 Taylor & Francis Ltd
Subjects:	Finite weight monomial representations projective representations representation groups Representations Schur multiplier
Online Access:	Get full text
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Description
Summary:	We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations are finite dimensional.
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2022.2149763