Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 163–168 (Mi znsl1195)  
Decomposition of Grothendieck group of stable categories of finite groups

A. I. Generalov, I. O. Isametdinov

Saint-Petersburg State University
Full-text PDF (162 kB)
Abstract: Let $G$ be a finite group with a normal Sylow $p$-subgroup $H$ such that the corresponding quotient is abelian. We prove that the Grothendieck group of the stable category of $G$ (over an algebraically closed field with characteristic $p$) contains a cyclic direct summand of order $|H|$.
Received: 25.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 4, Pages 4333–4336
DOI: https://doi.org/10.1023/A:1020390818802
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: A. I. Generalov, I. O. Isametdinov, “Decomposition of Grothendieck group of stable categories of finite groups”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 163–168; J. Math. Sci. (New York), 112:4 (2002), 4333–4336
Citation in format AMSBIB
\Bibitem{GenIsa99}
\by A.~I.~Generalov, I.~O.~Isametdinov
\paper Decomposition of Grothendieck group of stable categories of finite groups
\inbook Problems in the theory of representations of algebras and groups. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 265
\pages 163--168
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757821}
\zmath{https://zbmath.org/?q=an:1046.19001}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 112
\issue 4
\pages 4333--4336
\crossref{https://doi.org/10.1023/A:1020390818802}
Linking options:
  • https://www.mathnet.ru/eng/znsl1195
  • https://www.mathnet.ru/eng/znsl/v265/p163
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:213
    Full-text PDF :72
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024