Skip to main content
SpringerLink
Log in

An infinite-dimensional torsion-freeFP ∞ group

  • Published:
Inventiones mathematicae Aims and scope

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

  • [BG1] Brown, K.S., Geoghegan, R.:FP ∞ groups andHNN extensions. Bull. Amer. Math. Soc.9, 227–229 (1983)

    Google Scholar 

  • [BG2] Brown, K.S., Geoghegan, R.: Cohomology with free coefficients of the fundamental group of a graph of groups. Comment. Math. Helv., to appear

  • [Br] Brown, K.S.: Cohomology of groups. Berlin-Heidelberg-New York: Springer 1982

    Google Scholar 

  • [D1] Dydak, J.: A simple proof that pointed connected FANR-spaces are regular fundamental retracts of ANR's. Bull. Polon. Acad. Sci. Ser. Sci. Math. Astronom. Phys.25, 55–62 (1977)

    Google Scholar 

  • [D2] Dydak, J.: 1-movable continua need not be pointed 1-movableibid-Bull. Polon. Acad. Sci. Ser. Sci. Math. Astronom. Phys.25, 485–488 (1977)

    Google Scholar 

  • [DH] Dydak, J., Hastings, H.M.: Homotopy idempotents on two-dimensional complexes split, Proceedings of the International Conference on Geometric Topology (Warsaw 1978), 127–133, PWN, Warsaw, 1980

    Google Scholar 

  • [DS] Dydak, J., Segal, J.: Shape theory: An Introduction. Lecture Notes in Mathematics, vol. 688. Berlin-Heidelberg-New York: Springer 1978

    Google Scholar 

  • [FH] Freyd, P., Heller, A.: Splitting homotopy idempotents II, mimeographed. Univ. of Pennsylvania

  • [GM] Geoghegan, R., Mihalik, M.L.: Free abelian cohomology of groups and ends of universal covers, preprint. SUNY Binghamton and Vanderbilt University

  • [H] Henderson, D.W.: A simplicial complex whose product with any ANR is a simplicial complex. General Topology and Appl.3, 81–83 (1973)

    Google Scholar 

  • [HH] Hastings, H.M., Heller, A.: Homotopy idempotents on finite dimensional complexes split. Proc. Amer. Math. Soc.85, 619–622 (1982)

    Google Scholar 

  • [HT] Heisey, R., Toruńczyk, H.: On the topology of direct limits of ANR's. Pacific J. Math.93, 307–312 (1981)

    Google Scholar 

  • [M] Mihalik, M.: Ends of groups with the integers as quotient. J. Pure Appl. Algebra, to appear

  • [MT] McKenzie, R., Thompson, R.J.: An elementary construction of unsolvable word problems in group theory. In: Word Problems (Conf., Univ. California, Irvine, 1969, Boone, W.W., Cannonito, F.B., Lyndon, R.C. (eds.), Studies in Logic and the Foundations of Mathematics, vol. 71, pp. 457–478. North-Holland, Amsterdam 1973

    Google Scholar 

  • [W] Wall, C.T.C. (ed.): List of problems. Homological Group Theory. London Math. Soc. Lecture Notes, vol. 36, pp. 369–394. Cambridge Univ. Press, Cambridge 1979

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Cornell University, 14853, Ithaca, NY, USA

    Kenneth S. Brown

  2. Department of Mathematical Sciences, State University of New York, 13901, Binghamton, NY, USA

    Ross Geoghegan

Authors
  1. Kenneth S. Brown
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ross Geoghegan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by grants from the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, K.S., Geoghegan, R. An infinite-dimensional torsion-freeFP ∞ group. Invent Math 77, 367–381 (1984). https://doi.org/10.1007/BF01388451

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01388451

Search

Navigation