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Matematicheskie Zametki, 2003, Volume 74, Issue 5, Pages 669–675
DOI: https://doi.org/10.4213/mzm299 (Mi mzm299) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Integral Heisenberg Group as an Infinite Amalgam of Commutative Groups

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
Full-text PDF (181 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/mzm299
Abstract: The $2n$-dimensional integral lattice, $n > 1$, equipped with the standard skew-symmetric 2-form additive with respect to each of the variables is considered. The family of all isotropic sublattices is studied. It is proved that the amalgam of this family of groups is the integral Heisenberg group.
Received: 03.03.2000
Revised: 27.05.2003
English version:
Mathematical Notes, 2003, Volume 74, Issue 5, Pages 630–636
DOI: https://doi.org/10.1023/B:MATN.0000008995.64663.e3
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: R. S. Ismagilov, “The Integral Heisenberg Group as an Infinite Amalgam of Commutative Groups”, Mat. Zametki, 74:5 (2003), 669–675; Math. Notes, 74:5 (2003), 630–636
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\issue 5
\pages 630--636
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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