Geometrical approach to the free sovable groups

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dc.creatorVershik, A.
dc.creatorDobrynin, S.
dc.date2004-05-01
dc.date2004-11-18
dc.date.accessioned2026-07-07T05:07:51Z
dc.date.available2026-07-07T05:07:51Z
dc.descriptionWe give a topological interpretation of the free metabelian group, following the plan described in [Ver1,Ver2]. This interpretation is based on considering the Caley graph of a finitely generated group G as one-dimensional complex; its homology group with integer coefficients as G-space; and corresponding extension of the homology group determinated by the canonical cocycle. This gives a recursive approach to free solvable groups of any degree of solvability. For metabelian case we calculate second cohomology and describe all satellite groups.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0405008
dc.identifierhttp://arxiv.org/abs/math/0405008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71028
dc.subjectGroup Theory
dc.subjectAlgebraic Topology
dc.subject20F16,20F65,55N25
dc.titleGeometrical approach to the free sovable groups
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