LEADER 08291nam 22017775 450 001 9910154748903321 005 20190708092533.0 010 $a1-4008-8208-7 024 7 $a10.1515/9781400882083 035 $a(CKB)3710000000627294 035 $a(SSID)ssj0001651250 035 $a(PQKBManifestationID)16426391 035 $a(PQKBTitleCode)TC0001651250 035 $a(PQKBWorkID)13112106 035 $a(PQKB)10162961 035 $a(MiAaPQ)EBC4738670 035 $a(DE-B1597)468008 035 $a(OCoLC)979581015 035 $a(DE-B1597)9781400882083 035 $a(EXLCZ)993710000000627294 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aCombinatorial Group Theory and Topology. (AM-111), Volume 111 /$fJohn R. Stallings, S. M. Gersten 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1987 215 $a1 online resource (565 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v334 300 $aPresentations from a conference held at Alta Lodge, Utah, July 15-18, 1984. 311 $a0-691-08410-6 311 $a0-691-08409-2 320 $aIncludes bibliographies. 327 $tFrontmatter -- $tCONTENTS -- $tPREFACE -- $tI. Combinatorial Group Theory -- $tPROBLEMS IN COMBINATORIAL GROUP THEORY / $rLyndon, Roger -- $tPOINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / $rEckmann, Beno -- $tHOW TO GENERALIZE ONE-RELATOR GROUP THEORY / $rHowie, James -- $tGRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / $rStallings, John R. -- $tPEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / $rCollins, Donald J . -- $tNONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / $rGersten, S. M. -- $tGRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / $rStallings, John R. -- $tTHE TODD-COXETER PROCESS, USING GRAPHS / $rStallings, John R. / Wolf, A. Royce -- $tA SUBGROUP THEOREM FOR PREGROUPS / $rRimlinger, Frank -- $tGROUPS WITH A RATIONAL CROSS-SECTION / $rGilman, Robert H. -- $tON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / $rBenson, Max -- $tSJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- $tON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / $rCraggs, Robert / Howie, James -- $tON COMPLEXES DOMINATED BY A TWO-COMPLEX / $rRatcliffe, John G. -- $tSUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / $rDyer, Micheal -- $tLENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / $rAlperin, Roger / Bass, Hyman -- $tII. Very Low Dimensional Topology -- $tRESIDUAL FINITENESS FOR 3-MANIFOLDS / $rHempel, John -- $tTHE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / $rBleiler, Steven A. -- $tWHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / $rNicas, A. J / Stark, C.W. -- $tCHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / $rGilman, Jane -- $tA SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / $rNeuwirth, L. / Patterson, N. -- $tDEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / $rBirman, Joan S. / Series, Caroline -- $tPATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / $rCohen, Marshall / Lustig, Martin -- $tPATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / $rLustig, Martin -- $tSELECTED PROBLEMS / $rGersten, S. M. -- $tBackmatter 330 $aGroup theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah.Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf. 410 0$aAnnals of mathematics studies ;$vno. 111. 606 $aCombinatorial group theory$vCongresses 606 $aTopology$vCongresses 610 $aAbelian group. 610 $aAlgebraic equation. 610 $aAlgebraic integer. 610 $aAutomorphism. 610 $aBasis (linear algebra). 610 $aBetti number. 610 $aCayley graph. 610 $aCayley?Hamilton theorem. 610 $aCharacteristic polynomial. 610 $aCharacteristic subgroup. 610 $aCharacterization (mathematics). 610 $aClassifying space. 610 $aCombinatorial group theory. 610 $aCombinatorics. 610 $aCommutative algebra. 610 $aCommutative property. 610 $aCommutator subgroup. 610 $aCompactification (mathematics). 610 $aComplement (set theory). 610 $aConformal map. 610 $aConjugacy class. 610 $aConnected component (graph theory). 610 $aConnectivity (graph theory). 610 $aCoprime integers. 610 $aCoset. 610 $aCoxeter group. 610 $aCyclic group. 610 $aCyclic permutation. 610 $aDegeneracy (mathematics). 610 $aDehn's lemma. 610 $aDiagram (category theory). 610 $aDirac delta function. 610 $aDisk (mathematics). 610 $aEpimorphism. 610 $aEquation. 610 $aEuclidean group. 610 $aFinite group. 610 $aFinitely generated abelian group. 610 $aFinitely generated group. 610 $aFree abelian group. 610 $aFree group. 610 $aFreiheitssatz. 610 $aFuchsian group. 610 $aFunction (mathematics). 610 $aFundamental domain. 610 $aFundamental group. 610 $aFundamental lemma (Langlands program). 610 $aG-module. 610 $aGeneral linear group. 610 $aGenerating set of a group. 610 $aGeodesic. 610 $aGraph (discrete mathematics). 610 $aGraph of groups. 610 $aGraph product. 610 $aGroup theory. 610 $aHaken manifold. 610 $aHarmonic analysis. 610 $aHomological algebra. 610 $aHomology (mathematics). 610 $aHomomorphism. 610 $aHomotopy. 610 $aHurwitz's theorem (number theory). 610 $aHyperbolic 3-manifold. 610 $aIdentity theorem. 610 $aInclusion map. 610 $aInequality (mathematics). 610 $aInner automorphism. 610 $aIntersection (set theory). 610 $aIntersection number (graph theory). 610 $aIntersection number. 610 $aInvertible matrix. 610 $aJacobian matrix and determinant. 610 $aKnot theory. 610 $aLimit point. 610 $aMapping class group. 610 $aMapping cone (homological algebra). 610 $aMathematical induction. 610 $aModule (mathematics). 610 $aParity (mathematics). 610 $aPoincaré conjecture. 610 $aPrime number. 610 $aPullback (category theory). 610 $aQuotient group. 610 $aRepresentation theory. 610 $aResidually finite group. 610 $aRiemann surface. 610 $aSeifert?van Kampen theorem. 610 $aSeparatrix (mathematics). 610 $aSet theory. 610 $aSimplicial complex. 610 $aSphere theorem (3-manifolds). 610 $aSphere theorem. 610 $aSubgroup. 610 $aSylow theorems. 610 $aTheorem. 610 $aTopology. 610 $aUnion (set theory). 610 $aUniqueness theorem. 610 $aVariable (mathematics). 610 $aWord problem (mathematics). 615 0$aCombinatorial group theory 615 0$aTopology 676 $a512/.22 702 $aGersten$b S. M., 702 $aStallings$b John R., 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154748903321 996 $aCombinatorial Group Theory and Topology. (AM-111), Volume 111$92785799 997 $aUNINA