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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 83, Issue 2, Pages 431–443
DOI: https://doi.org/10.1070/SM1995v083n02ABEH003599 (Mi sm944) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Integral lattices associated with a finite affine group

K. S. Abdukhalikov
English version PDF (578 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM1995v083n02ABEH003599
Abstract: This paper deals with positive definite integral lattices of dimension $\operatorname{Card}(V)-1$ associated with a finite affine group $V\cdot\operatorname{GL}(V)$ (and some of its subgroups). The invariant sublattices are described to within similarity. Duality in the class of invariant lattices is studied. The unimodular lattices are distinguished.
Received: 11.01.1994
Bibliographic databases:
UDC: 512.54
MSC: Primary 11H56; Secondary 11H31
Language: English
Original paper language: Russian
Citation: K. S. Abdukhalikov, “Integral lattices associated with a finite affine group”, Russian Acad. Sci. Sb. Math., 83:2 (1995), 431–443
Citation in format AMSBIB
\Bibitem{Abd94}
\by K.~S.~Abdukhalikov
\paper Integral lattices associated with a~finite affine group
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 83
\issue 2
\pages 431--443
\mathnet{http://mi.mathnet.ru//eng/sm944}
\crossref{https://doi.org/10.1070/SM1995v083n02ABEH003599}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317296}
\zmath{https://zbmath.org/?q=an:0843.11031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10300009}
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  • https://doi.org/10.1070/SM1995v083n02ABEH003599
  • https://www.mathnet.ru/eng/sm/v185/i12/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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