FREE GROUP ROOTS OF akbl AND [ ak,b]

DOI10.1142/S0218196700000133zbMath1010.20014OpenAlexW1926003511MaRDI QIDQ4786252

James McCool

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196700000133

zbMATH Keywords

free groupsroots of elementsconjugacy classes of roots

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• On roots of \(a^ kb^{\ell}\)
• On equations in free groups
• Generators of the free product with amalgamation of two infinite cyclic groups
• Generation and presentation of one-relator groups with centre
• Presentations of the amalgamated free product of two infinite cycles
• On roots in free groups
• The centre of groups with one defining relator
• The isomorphism problem for one-relator groups with non-trivial centre
• A class of one-relator groups with centre
• Finite and infinite cyclic extensions of free groups
• An algorithm for stem products and one-relator groups
• One-relater groups with center

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