THE WHITEHEAD ASPHERICITY CONJECTURE AND PERIODIC GROUPS

DOI10.1142/S0218196799000321zbMath1028.20026WikidataQ123107042 ScholiaQ123107042MaRDI QIDQ4513312

Sergei V. Ivanov

Publication date: 7 November 2000

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

zbMATH Keywords

one-relator groupsfree Burnside groupsWhitehead asphericity conjectureTarski monstersalmost aspherical presentations

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (1)

An asphericity conjecture and Kaplansky problem on zero divisors

Cites Work

• Some remarks on a problem of J. H. C. Whitehead
• Aspherical 2-complexes and an unsettled problem of J.H.C.Whitehead
• Cohomology theory of aspherical groups and of small cancellation groups
• On adding relations to homotopy groups
• Cohomology theory of groups with a single defining relation
• RELATION MODULES AND RELATION BIMODULES OF GROUPS, SEMIGROUPS AND ASSOCIATIVE ALGEBRAS
• ON THE SECOND HOMOTOPY GROUP
• RELATION MODULES AND RELATION BIMODULES OF GROUPS, SEMIGROUPS AND ASSOCIATIVE ALGEBRAS — ADDENDUM AND ERRATA
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• On 2-dimensional aspherical complexes and a problem of J. H. C. Whitehead
• Hyperbolic groups and their quotients of bounded exponents

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