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Algebra i logika, 2001, Volume 40, Number 1, Pages 60–82 (Mi al209)  
This article is cited in 11 scientific papers (total in 11 papers)

Affine Module Groups and Their Automorphisms

P. A. Krylov
Full-text PDF (3528 kB) Citations (11)
Abstract: An affine module group is a semidirect extension of an additive module group by its automorphism group. Maximal Abelian normal subgroups of an affine group are described. It is proved that operator isomorphisms of affine groups are induced by module automorphisms. Automorphisms of an affine group which do not leave a module fixed are treated. And conditions are specified for a module to be non-characteristic in its affine group.
Keywords: affine module group, maximal Abelian normal subgroup, automorphism.
Received: 16.04.1999
English version:
Algebra and Logic, 2001, Volume 40, Issue 1, Pages 34–46
DOI: https://doi.org/10.1023/A:1002802222089
Bibliographic databases:
UDC: 512.55+512.54
Language: Russian
Citation: P. A. Krylov, “Affine Module Groups and Their Automorphisms”, Algebra Logika, 40:1 (2001), 60–82; Algebra and Logic, 40:1 (2001), 34–46
Citation in format AMSBIB
\Bibitem{Kry01}
\by P.~A.~Krylov
\paper Affine Module Groups and Their Automorphisms
\jour Algebra Logika
\yr 2001
\vol 40
\issue 1
\pages 60--82
\mathnet{http://mi.mathnet.ru/al209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1852789}
\zmath{https://zbmath.org/?q=an:0979.20044}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 1
\pages 34--46
\crossref{https://doi.org/10.1023/A:1002802222089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549121483}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:352
    Full-text PDF :153
    References:1
    First page:1
     
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