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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Homotopy trees with trivial classifying ring
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by Micheal N. Dyer PDF
Proc. Amer. Math. Soc. 55 (1976), 405-408 Request permission

Abstract:

In this note we study a certain class of groups $\pi$ for which the homotopy classification of $(\pi ,m)$-complexes is independent of the $k$-invariant for small $m$.
References
  • Robert Bieri, Gruppen mit Poincaré-Dualität, Comment. Math. Helv. 47 (1972), 373–396 (German). MR 352290, DOI 10.1007/BF02566811
  • Robert Bieri and Beno Eckmann, Groups with homological duality generalizing Poincaré duality, Invent. Math. 20 (1973), 103–124. MR 340449, DOI 10.1007/BF01404060
  • M. Dyer, Homotopy classification of $(\pi ,m)$-complexes. I, II, III (to appear J. Pure and Applied Algebra). —, Projective $k$-invariants (to appear).
  • Karl W. Gruenberg, Cohomological topics in group theory, Lecture Notes in Mathematics, Vol. 143, Springer-Verlag, Berlin-New York, 1970. MR 0279200
  • F. E. A. Johnson and C. T. C. Wall, On groups satisfying Poincaré duality, Ann. of Math. (2) 96 (1972), 592–598. MR 311796, DOI 10.2307/1970827
  • S. Mac Lane and J. H. C. Whithead, On the $3$-type of a complex, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 41-48. MR 11, 450.
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 55 (1976), 405-408
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0397722-4
  • MathSciNet review: 0397722