000 03746nam a22005175i 4500
001 978-3-540-46296-5
003 DE-He213
005 20190213151510.0
007 cr nn 008mamaa
008 121227s1990 gw | s |||| 0|eng d
020 _a9783540462965
_9978-3-540-46296-5
024 7 _a10.1007/BFb0084444
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
072 7 _aPBF
_2thema
082 0 4 _a512
_223
245 1 0 _aTopology and Combinatorial Group Theory
_h[electronic resource] :
_bProceedings of the Fall Foliage Topology Seminars held in New Hampshire 1986–1988 /
_cedited by Paul Latiolais.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1990.
300 _aVIII, 212 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1440
505 0 _aOn two relator groups -- When is the homotopy set [X, Y] infinite? -- Local collapses for diagrammatic reducibility -- Periodic knots and desuspensions of free involutions on spheres -- The Tits conjecture and the five string braid group -- The finite basis extension property and graph groups -- Subgroup presentations without coset representatives -- Fractal dimensions of limit sets of some Kleinian groups -- Bounded cancellation of automorphisms of free products -- A short topological proof of Cohn's theorem -- On the homotopy type of 2-complexes with a free product of cyclic groups as fundamental group -- Bias ideals and obstructions to simple-homotopy equivalence -- Embeddings of acyclic 2-complexes in S 4 with contractible complement -- Fixed subsets of homomorphisms of free groups -- Note on a conjecture of Stephen Halperin's -- On the rank, the deficiency and the homological dimension of groups: The computation of a lower bound via fox ideals -- A reduced spherical diagram into a ribbon-disk complement and related examples -- * - Groups, graphs, and bases -- Some topological graph theory for topologists: A sampler of covering space constructions.
520 _aThis book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and exciting developments. Among the many techniques disussed are the use of obstruction groups to distinguish certain exact sequences and several graph theoretic techniques with applications to the theory of groups.
650 0 _aAlgebra.
650 0 _aAlgebraic topology.
650 0 _aGroup theory.
650 1 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M14068
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
700 1 _aLatiolais, Paul.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662210949
776 0 8 _iPrinted edition:
_z9783540529903
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1440
856 4 0 _uhttps://doi.org/10.1007/BFb0084444
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10884
_d10884