L. F. Barannik, “Exact projective representations of Abelian groups”, Mat. Zametki, 10:3 (1971), 345–354; Math. Notes, 10:3 (1971), 630

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Matematicheskie Zametki, 1971, Volume 10, Issue 3, Pages 345–354 (Mi mzm9722)

This article is cited in 6 scientific papers (total in 6 papers)

Exact projective representations of Abelian groups

L. F. Barannik

Uzhgorod State University

Full-text PDF (1083 kB) Citations (6)

Abstract: A complete description of the finite Abelian groups having exact irreducible projective representations over a field $F$ comprising a finite extension of the rational number field or rational $p$-adic number field is presented.

Received: 16.04.1970

English version:
Mathematical Notes, 1971, Volume 10, Issue 3, Pages 630–635
DOI: https://doi.org/10.1007/BF01464726

Bibliographic databases:

Document Type: Article

UDC: 519.44

Language: Russian

Citation: L. F. Barannik, “Exact projective representations of Abelian groups”, Mat. Zametki, 10:3 (1971), 345–354; Math. Notes, 10:3 (1971), 630–635

Citation in format AMSBIB

\Bibitem{Bar71}

\by L.~F.~Barannik

\paper Exact projective representations of Abelian groups

\jour Mat. Zametki

\yr 1971

\vol 10

\issue 3

\pages 345--354

\mathnet{http://mi.mathnet.ru/mzm9722}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=291279}

\zmath{https://zbmath.org/?q=an:0239.20012}

\transl

\jour Math. Notes

\yr 1971

\vol 10

\issue 3

\pages 630--635

\crossref{https://doi.org/10.1007/BF01464726}

Linking options:

https://www.mathnet.ru/eng/mzm9722

https://www.mathnet.ru/eng/mzm/v10/i3/p345

This publication is cited in the following 6 articles:

Leonid F. Barannyk, “On faithful irreducible projective representations of finite groups over a field of characteristic p”, Journal of Algebra, 321:1 (2009), 194
R.J Higgs, “Projective Representations of Abelian Groups”, Journal of Algebra, 242:2 (2001), 769
North-Holland Mathematics Studies, 177, Continuation of the Notas de Matemàtica, 1993, 831
North-Holland Mathematics Studies, 180, Group Representations, 1980, 849
H.N Ng, “Faithful irreducible projective representations of metabelian groups”, Journal of Algebra, 38:1 (1976), 8
L. F. Barannik, “On exact projective representations of finite Abelian groups over a field”, Ukr Math J, 26:6 (1975), 641

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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