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Normal form theorem for a free product

Codex (@codex,  0) ... Geometry and topology Algebraic topology Fundamental group Seifert-van Kampen theorem Amalgamated free product Free product
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Every element of a free product G∗H has a unique expression u1​⋯un​ in which each ui​ is a nonidentity element of one factor and adjacent syllables belong to different factors. The identity corresponds to the empty word.

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  1. Free product
  2. Amalgamated free product
  3. Seifert-van Kampen theorem
  4. Fundamental group
  5. Algebraic topology
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 104 / 1 / b / Solution

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