MARC Record from marc_columbia

LEADER: 03533cam a2200529 i 4500
001 12299547
005 20170117124136.0
008 160602t20162016riua b 001 0 eng
010 $a 2016025287
020 $a9781470429010$qhardcover$qalkaline paper
020 $a1470429012$qhardcover$qalkaline paper
035 $a(OCoLC)ocn951190270
035 $a(OCoLC)951190270
035 $a(NNC)12299547
040 $aDLC$beng$erda$cDLC$dOCLCO$dOCLCF$dYDX$dBTCTA$dGZN$dKSU$dYDX$dOCLCO
042 $apcc
050 00 $aQA614$b.B54 2016
082 00 $a512/.2$223
084 $a20-02$a20E32$a20E36$a20F05$a20F38$2msc
100 1 $aBieri, Robert,$eauthor.
245 10 $aOn groups of PL-homeomorphisms of the real line /$cRobert Bieri, Ralph Strebel.
264 1 $aProvidence, Rhode Island :$bAmerican Mathematical Society,$c[2016]
264 4 $c©2016
300 $axvii, 174 pages :$billustrations ;$c27 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aMathematical surveys and monographs ;$vvolume 215
520 $a"Richard Thompson's famous group FF has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can also be given by a simple 2-generator-2-relator presentation, in fact as the fundamental group of an aspherical complex with only two cells in each dimension. This monograph studies a natural generalization of FF that also includes Melanie Stein's generalized FF-groups. The main aims of this monograph are the determination of isomorphisms among the generalized FF-groups and the study of their automorphism groups. This book is aimed at graduate students (or teachers of graduate students) interested in a class of examples of torsion-free infinite groups with elements and composition that are easy to describe and work with, but have unusual properties and surprisingly small presentations in terms of generators and defining relations"--Back cover.
504 $aIncludes bibliographical references (pages 163-165) and index.
505 0 $aConstruction of finitary PL-homeomorphisms -- Generating sets -- The subgroup of bounded homeomorphisms B -- Presentations -- Isomorphisms and automorphism groups.
650 0 $aHomeomorphisms.
650 0 $aGeometric group theory.
650 0 $aNumbers, Real.
650 0 $aDimension theory (Algebra)
650 7 $aGroup theory and generalizations -- Research exposition (monographs, survey articles).$2msc
650 7 $aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Simple groups.$2msc
650 7 $aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Automorphisms of infinite groups.$2msc
650 7 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Generators, relations, and presentations.$2msc
650 7 $aGroup theory and generalizations -- Special aspects of infinite or finite groups -- Other groups related to topology or analysis.$2msc
650 7 $aDimension theory (Algebra)$2fast$0(OCoLC)fst00893847
650 7 $aGeometric group theory.$2fast$0(OCoLC)fst00940833
650 7 $aHomeomorphisms.$2fast$0(OCoLC)fst00959580
650 7 $aNumbers, Real.$2fast$0(OCoLC)fst01041248
700 1 $aStrebel, Ralph,$d1944-$eauthor.
830 0 $aMathematical surveys and monographs ;$vno. 215.
852 00 $bmat$hQA614$i.B54 2016