000			02088cam a22002898i 4500
001			137678
003			ISI Library, Kolkata
005			20170517124425.0
008			160602s2016 riu b 001 0 eng
020			_a9781470429010
040			_aISI Library
082	0	4	_a510MS _223 _bAm512
100	1		_aBieri, Robert, _eauthor
245	1	0	_aOn groups of PL-homeomorphisms of the real line / _cRobert Bieri and Ralph Strebel.
260			_aProvidence : _bAmerican Mathematical Society, _c©2016.
300			_axvii, 174 pages : _billustrations ; _c26 cm.
490	0		_aMathematical surveys and monographs ; _vv 215.
504			_aIncludes bibliographical references and index.
505	0		_a* Introduction* Construction of finitary PL-homeomorphisms* Generating sets* The subgroup of bounded homeomorphisms $B$* Presentations* Isomorphisms and automorphism groups* Notes* Bibliography* Index of notation* Subject index.
520			_aRichard Thompson's famous group $F$ 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 $F$ that also includes Melanie Stein's generalized $F$-groups. The main aims of this monograph are the determination of isomorphisms among the generalized $F$-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.
650		0	_aHomeomorphisms.
650		0	_aGeometric group theory.
650		0	_aReal numbers.
650		0	_aDimension theory (Algebra)
700	1		_aStrebel, Ralph, _eauthor
942			_2ddc _cBK
999			_c423576 _d423576