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Classification of two-dimensional Poincare duality groups

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Group theory Group cohomology Poincare duality group
2026-10-14  0 By others on same topic  0 Discussions Create my own version
Every integral dimension-two Poincare duality group is the fundamental group of a closed aspherical topological surface. Orientable examples are the torus and closed surfaces of genus at least two. Nonorientable aspherical closed surfaces supply the orientation-twisted examples.

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  1. Poincare duality group
  2. Group cohomology
  3. Group theory
  4. Algebra
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  • Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 28 / 3 / Solution

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