Generating systems of groups and Reidemeister-Whitehead torsion

DOI10.1006/jabr.1993.1096zbMath0816.20031OpenAlexW1998946954WikidataQ63443946 ScholiaQ63443946MaRDI QIDQ1802212

Martin Lustig, Yoav Moriah

Publication date: 3 April 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1096

zbMATH Keywords

torsiongenerators3-manifoldsfree productsDehn surgeryfree groupsWhitehead groupHeegaard splittingsfinite abelian groupssystems of generatorsFox derivativesfinitely generated groupNielsen classesNielsen equivalenceknot groupsrelatorsFox calculusminimal generating systemschange of generatorsNielsen inequivalent generators

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Finite abelian groups (20K01) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (9)

Nielsen equivalence in Fuchsian groups ⋮ Generating pairs and group actions ⋮ On finitely generated modules over quasi-Euclidean rings ⋮ Nielsen equivalence classes of free Abelianized extensions of groups. ⋮ Nielsen equivalence in a class of random groups ⋮ NIELSEN EQUIVALENCE OF GENERATING PAIRS OF SL(2,q) ⋮ Non-commutative determinants and automorphisms of groups ⋮ Non-tame automorphisms of extensions of periodic groups ⋮ Generalized Montesinos knots, tunnels and \({\mathcal N}\)-torsion

This page was built for publication: Generating systems of groups and Reidemeister-Whitehead torsion