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Matematicheskie Zametki, 2015, Volume 98, Issue 1, Pages 152–155
DOI: https://doi.org/10.4213/mzm10694 (Mi mzm10694) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief Communications

The Discrete Heisenberg Group and Its Automorphism Group

D. V. Osipov

Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (290 kB) Citations (8)
References:
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DOI: https://doi.org/10.4213/mzm10694
Keywords: discrete Heisenberg group, automorphism group, structure theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00178 а
13-01-12420 офи_м2
This work was supported in part by the Russian Foundation for Basic Research (grants no. 13-01-12420 ofi_m2 and no. 14-01-00178a).
Received: 02.02.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 1, Pages 185–188
DOI: https://doi.org/10.1134/S0001434615070160
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Mat. Zametki, 98:1 (2015), 152–155; Math. Notes, 98:1 (2015), 185–188
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10694
  • https://doi.org/10.4213/mzm10694
  • https://www.mathnet.ru/eng/mzm/v98/i1/p152
    • This publication is cited in the following 8 articles:
    1. Elahe Mehraban, T. Aaron Gulliver, Evren Hincal, “New cyclic groups based on the generalized order-k Pell sequences in the Heisenberg group and their application in cryptography”, AAECC, 2024  crossref
    2. Alex Evetts, “Conjugacy growth in the higher Heisenberg groups”, Glasgow Math. J., 65:S1 (2023), S148  crossref
    3. Jean-Philippe Burelle, Sean Lawton, “Dynamics on nilpotent character varieties”, Conform. Geom. Dyn., 26:10 (2022), 194  crossref
    4. Yu. Prokhorov, C. Shramov, “Automorphism groups of inoue and kodaira surfaces”, Asian J. Math., 24:2 (2020), 355–368  crossref  mathscinet  isi
    5. J. B. Lee, S. R. Lee, “Automorphisms of uniform lattices of nilpotent lie groups up to dimension four”, Commun. Korean Math. Soc., 35:2 (2020), 653–666  crossref  mathscinet  isi
    6. I. Mundet i Riera, “Finite groups acting symplectically on $T^2\times S^2$”, Trans. Amer. Math. Soc., 369:6 (2017), 4457–4483  crossref  mathscinet  zmath  isi  scopus
    7. I. V. Beloshapka, S. O. Gorchinskiy, “Irreducible representations of finitely generated nilpotent groups”, Sb. Math., 207:1 (2016), 41–64  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    8. D. V. Osipov, A. N. Parshin, “Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields”, Proc. Steklov Inst. Math., 292 (2016), 185–201  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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