Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 3, Pages 573–599
DOI: https://doi.org/10.1070/IM1985v025n03ABEH001308 (Mi im1518) 		 
This article is cited in 6 scientific papers (total in 7 papers)

Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory

V. P. Platonov, V. I. Yanchevskii
English version PDF (1524 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1985v025n03ABEH001308
Abstract: A multiplicative theory of finite-dimensional division rings with involutions of the first kind is developed in connection with Dieudonné's conjecture, and the structure of arbitrary division rings over Henselian fields is studied. The unitary Whitehead group $UK_1(\tau,A)$ is computed for Henselian division rings $A$ with an involution $\tau$. Classes of division rings for which Dieudonné's conjecture has an affirmative answer are exhibited.
Bibliography: 17 titles.
Received: 30.05.1984
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 6, Pages 1266–1294
Bibliographic databases:
UDC: 512.74+512.552
MSC: 20G15, 12E15, 13A39, 16A54
Language: English
Original paper language: Russian
Citation: V. P. Platonov, V. I. Yanchevskii, “Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1266–1294; Math. USSR-Izv., 25:3 (1985), 573–599
Citation in format AMSBIB
\Bibitem{PlaYan84}
\by V.~P.~Platonov, V.~I.~Yanchevskii
\paper Dieudonn\'e's conjecture on the structure of unitary groups over a~division ring, and Hermitian $K$-theory
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 6
\pages 1266--1294
\mathnet{http://mi.mathnet.ru/im1518}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=772116}
\zmath{https://zbmath.org/?q=an:0593.16012|0579.16011}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 3
\pages 573--599
\crossref{https://doi.org/10.1070/IM1985v025n03ABEH001308}
Linking options:
  • https://www.mathnet.ru/eng/im1518
  • https://doi.org/10.1070/IM1985v025n03ABEH001308
  • https://www.mathnet.ru/eng/im/v48/i6/p1266
    • This publication is cited in the following 7 articles:
    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
    Statistics & downloads:
    Abstract page:823
    Russian version PDF:126
    English version PDF:18
    References:44
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024