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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 131–144
DOI: https://doi.org/10.4213/mzm410 (Mi mzm410) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Primitive Representations of Minimax Nilpotent Groups

A. V. Tushev
Full-text PDF (254 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm410
Abstract: We show, in particular, that in the class of minimax two-step nilpotent groups only finitely generated groups can admit exact irreducible primitive representations over a finitely generated field of characteristic zero. We also suggest some approaches to studying induced representations of nilpotent groups of finite rank.
Received: 30.08.2000
Revised: 30.10.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 117–128
DOI: https://doi.org/10.1023/A:1019877307181
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. V. Tushev, “On Primitive Representations of Minimax Nilpotent Groups”, Mat. Zametki, 72:1 (2002), 131–144; Math. Notes, 72:1 (2002), 117–128
Citation in format AMSBIB
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\pages 131--144
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  • https://doi.org/10.4213/mzm410
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    • This publication is cited in the following 4 articles:
    1. Anatolii V. Tushev, “Primitive irreducible representations of finitely generated nilpotent groups”, European Journal of Mathematics, 8:S2 (2022), 704  crossref
    2. A. V. Tushev, “On the primitive irreducible representations of finitely generated linear groups of finite rank”, Asian-European J. Math., 15:04 (2022)  crossref
    3. A.V. Tushev, “On the primitive irreducible representations of finitely generated nilpotent groups”, Dopov. Nac. akad. nauk Ukr., 2021, no. 4, 24  crossref
    4. A. V. Tushev, “On the controllers of prime ideals of group algebras of Abelian torsion-free groups of finite rank over a field of positive characteristic”, Sb. Math., 197:9 (2006), 1365–1404  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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