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Explicit homotopy equivalences in dimension two
Published online by Cambridge University Press: 06 November 2002
Abstract
Let G be a finite group; by an algebraic 2-complex over G we mean an exact sequence of Z[G]-modules of the form:
E = (0 → J → E2 → E1 → E0 → Z → 0)
where Er is finitely generated free over Z[G] for 0 [les ] r [les ] 2. The module J is determined up to stability by the fact of appearing in such an exact sequence; we denote its stable class by Ω3(Z); E is said to be minimal when rkZ(J) attains the minimum possible value within Ω3(Z).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 3 , November 2002 , pp. 411 - 430
- Copyright
- © 2002 Cambridge Philosophical Society
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