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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 2, Pages 271–308
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001689 (Mi im2110) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Two-valued formal groups. Algebraic theory and applications to cobordism. II

V. M. Buchstaber
English version PDF (1453 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n02ABEH001689
Abstract: In this paper is described a homological method for classifying two-valued formal groups, yielding a computation of the universal two-valued formal group of first type. It is also proved that if the ground ring has no nilpotent elements, then any two-valued formal group over it of the second type is the square of a one-dimensional formal group.
Bibliography: 9 titles.
Received: 28.04.1975
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: Primary 13J05, 14L05; Secondary 57D90, 22E99
Language: English
Original paper language: Russian
Citation: V. M. Buchstaber, “Two-valued formal groups. Algebraic theory and applications to cobordism. II”, Math. USSR-Izv., 10:2 (1976), 271–308
Citation in format AMSBIB
\Bibitem{Buc76}
\by V.~M.~Buchstaber
\paper Two-valued formal groups. Algebraic theory and applications to cobordism.~II
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 271--308
\mathnet{http://mi.mathnet.ru/eng/im2110}
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001689}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=480545}
\zmath{https://zbmath.org/?q=an:0334.14022}
Linking options:
  • https://www.mathnet.ru/eng/im2110
  • https://doi.org/10.1070/IM1976v010n02ABEH001689
  • https://www.mathnet.ru/eng/im/v40/i2/p289
    Cycle of papers
    This publication is cited in the following 5 articles:
    1. V. M. Buchstaber, A. Yu. Vesnin, “n-valued groups, branched coverings and hyperbolic 3-manifolds”, Sb. Math., 215:11 (2024), 1441–1467  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. V. M. Buchstaber, A. P. Veselov, A. A. Gaifullin, “Classification of involutive commutative two-valued groups”, Russian Math. Surveys, 77:4 (2022), 651–727  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. A. N. Kholodov, “Algebraic theory of multi-valued formal groups”, Math. USSR-Sb., 42:2 (1982), 265–285  mathnet  crossref  mathscinet  zmath
    5. V. M. Buchstaber, “Topological applications of the theory of two-valued formal groups”, Math. USSR-Izv., 12:1 (1978), 125–177  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:503
    Russian version PDF:181
    English version PDF:33
    References:74
    First page:3
     
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