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Algebra i Analiz, 2019, Volume 31, Issue 6, Pages 38–78 (Mi aa1675)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Groups normalized by the odd unitary group

E. Yu. Voronetsky

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (435 kB) Citations (4)
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Abstract: Quadratic forms on bimodules are defined and the sandwich classification theorem is proved for subgroups of the general linear group GL(P)GL(P) normalized by the elementary unitary group EU(P)EU(P) if PP is a regular bimodule with sufficiently large hyperbolic part.
Keywords: quadratic forms, unitary groups.
Funding agency Grant number
Gazprom Neft
The research was supported by “Native towns”, a social investment program of PJSC “Gazprom Neft”.
Received: 07.03.2019
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 6, Pages 939–967
DOI: https://doi.org/10.1090/spmj/1630
Bibliographic databases:
Document Type: Article
MSC: 19G38
Language: Russian
Citation: E. Yu. Voronetsky, “Groups normalized by the odd unitary group”, Algebra i Analiz, 31:6 (2019), 38–78; St. Petersburg Math. J., 31:6 (2020), 939–967
Citation in format AMSBIB
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\paper Groups normalized by the odd unitary group
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\pages 38--78
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\pages 939--967
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  • https://www.mathnet.ru/eng/aa1675
  • https://www.mathnet.ru/eng/aa/v31/i6/p38
    • This publication is cited in the following 4 articles:
    1. E. Yu. Voronetskii, “Twisted forms of classical groups”, St. Petersburg Math. J., 34:2 (2023), 179–204  mathnet  crossref  mathscinet
    2. St. Petersburg Math. J., 34:1 (2023), 45–77  mathnet  crossref  mathscinet
    3. P. B. Gvozdevskiy, “Overgroups of subsystem subgroups in exceptional groups: nonideal levels”, St. Petersburg Math. J., 33:6 (2022), 897–925  mathnet  crossref
    4. E. Voronetsky, “Injective stability for odd unitary K-1”, J. Group Theory, 23:5 (2020), 781–800  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:255
    Full-text PDF :27
    References:45
    First page:12
     
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