Skip to main content
SpringerLink
Log in

p-Nilpotence, classifying space indecomposability, and other properties of almost all finite groups

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [AGM]J. F. Adams, J. H. C. Gunawardena andH. Miller,The Segal Conjecture for elementary abelian p-groups, Topology24 (1985), 435–460.

    Article  MathSciNet  MATH  Google Scholar 

  • [BK]R. Bryant andL. Kovacs,Lie representations and groups of prime power order, J. London Math. Soc. (2)17 (1978), 415–421.

    MathSciNet  MATH  Google Scholar 

  • [C]G. Carlsson,Equivariant stable homotopy and Segal’s Burnside ring conjecture, Annals of Math.120 (1984), 189–224.

    Article  MathSciNet  Google Scholar 

  • [CE]H. Cartan andS. Eilenberg,Homological Algebra, Princeton University Press, 1956.

  • [D]J. Dietz,Stable splittings of classifying spaces of metacyclic p-groups, Thesis, Northwestern University, 1991.

  • [G]D. Gorenstein,Finite Groups, Harper and Row, New York, 1982.

    MATH  Google Scholar 

  • [HB]B. Huppert andN. Blackburn,Finite Groups II, Grundlehren der mathematischen Wissenschaften, 242, Springer-Verlag, Berlin, 1982.

    Google Scholar 

  • [HK]J. Harris andN. Kuhn,Stable decompositions of classifying spaces of finite abelian p-groups, Math. Proc. Camb. Phil. Soc.103 (1988), 427–449.

    Article  MathSciNet  MATH  Google Scholar 

  • [HL]H. Heineken andH. Liebeck,On p-groups with odd automorphism groups, Arch. Math.24 (1973), 465–471.

    Article  MathSciNet  MATH  Google Scholar 

  • [Hu]B. Huppert, Endliche Gruppen I, Grundlehren der mathematischen Wissenschaften,134, Springer-Verlag, Berlin, 1967.

    MATH  Google Scholar 

  • [LMM]G. Lewis, P. May, J. McClure,Classifying G-spaces and the Segal conjecture, Current Trends in Algebraic Topology, CMS Conference Proc. 2 (1982), 165–179.

    MathSciNet  Google Scholar 

  • [Mn]U. Martin,Almost all p-groups have automorphism group a p-group, Bull. Amer. Math. Soc.15 (1986), 78–82.

    Article  MathSciNet  MATH  Google Scholar 

  • [N]G. Nishida,Stable homotopy type of classifying spaces of finite groups, Algebraic and Topological Theories (1985), 391–404.

  • [P]S. Priddy,On characterizing summands in the classifying spaces of a group, II, Homotopy Theory and Related Topics, Proceedings, Kinosaki, Lecture Notes in Math. 1418, Springer-Verlag, Berlin-New York 1990.

    Chapter  Google Scholar 

  • [S]R. Swan,The p-period of a finite group, Illinois J. Math.4 (1960), 341–346.

    MathSciNet  MATH  Google Scholar 

  • [T]J. Tate,Nilpotent quotient groups, Topology3 (1964), 109–111.

    Article  MathSciNet  Google Scholar 

  • [Th]J. Thévenaz,Most finite groups are p-nilpotent, Expo. Math.11 (1993), 359–363.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Heidelberg, 69120, Heidelberg, Germany

    Hans-Werner Henn & Stewart Priddy

  2. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Hans-Werner Henn & Stewart Priddy

Authors
  1. Hans-Werner Henn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Stewart Priddy
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Henn, HW., Priddy, S. p-Nilpotence, classifying space indecomposability, and other properties of almost all finite groups. Commentarii Mathematici Helvetici 69, 335–350 (1994). https://doi.org/10.1007/BF02564492

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02564492

Keywords

Search

Navigation