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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
References:
Abstract: This paper deals with positive definite integral lattices of dimension Card(V)1 associated with a finite affine group VGL(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}
Linking options:
  • https://www.mathnet.ru/eng/sm944
  • https://doi.org/10.1070/SM1995v083n02ABEH003599
  • https://www.mathnet.ru/eng/sm/v185/i12/p3
  • This publication is cited in the following 3 articles:
    1. K. Abdukhalikov, “The Permutation Modules for Finite (Affine) General Linear Groups”, Journal of Mathematical Sciences (New York), 131:5 (2005), 5867  crossref  mathscinet  zmath
    2. K. S. Abdukhalikov, “Automorphism groups of invariant lattices in the Steinberg module of groups of Lie type of odd characteristic”, Sb. Math., 189:9 (1998), 1273–1294  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. K. S. Abdukhalikov, “Modular permutation representations of $\operatorname {PSL}(n,p)$”, Sb. Math., 188:8 (1997), 1107–1117  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:420
    Russian version PDF:152
    English version PDF:20
    References:63
    First page:1
     
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