About: Martin Dunwoody

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Martin John Dunwoody (born 3 November 1938) is an emeritus professor of Mathematics at the University of Southampton, England. He earned his PhD in 1964 from the Australian National University. He held positions at the University of Sussex before becoming a professor at the University of Southampton in 1992. He has been emeritus professor since 2003.

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rdfs:label	Martin Dunwoody (fr) Martin Dunwoody (en)
rdfs:comment	Martin John Dunwoody (né le 3 novembre 1938) est professeur émérite de mathématiques à l'Université de Southampton, en Angleterre. (fr) Martin John Dunwoody (born 3 November 1938) is an emeritus professor of Mathematics at the University of Southampton, England. He earned his PhD in 1964 from the Australian National University. He held positions at the University of Sussex before becoming a professor at the University of Southampton in 1992. He has been emeritus professor since 2003. (en)
dcterms:subject	1938 births Living people 20th-century British mathematicians 21st-century British mathematicians Australian National University alumni Academics of the University of Southampton Academics of the University of Sussex
Wikipage page ID	51934 (xsd:integer)
Wikipage revision ID	1034977409 (xsd:integer)
Link from a Wikipage to another Wikipage	Richard S. Hamilton University of Southampton University of Sussex 1938 births Living people Mathematics Geometric group theory Low-dimensional topology England Bass–Serre theory Fundamental group Stallings theorem about ends of groups Australian National University 20th-century British mathematicians 21st-century British mathematicians Australian National University alumni C. T. C. Wall HNN extension 3-manifold Grigori Perelman Academics of the University of Southampton Academics of the University of Sussex Poincaré conjecture Free product Finitely generated group Finitely presented group
Link from a Wikipage to an external page	http://www.personal.soton.ac.uk/mjd7/
sameAs	Martin Dunwoody Martin Dunwoody Martin Dunwoody Martin Dunwoody Martin Dunwoody Martin Dunwoody
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has abstract	Martin John Dunwoody (born 3 November 1938) is an emeritus professor of Mathematics at the University of Southampton, England. He earned his PhD in 1964 from the Australian National University. He held positions at the University of Sussex before becoming a professor at the University of Southampton in 1992. He has been emeritus professor since 2003. Dunwoody works on geometric group theory and low-dimensional topology. He is a leading expert in splittings and accessibility of discrete groups, groups acting on graphs and trees, JSJ-decompositions, the topology of 3-manifolds and the structure of their fundamental groups. Since 1971 several mathematicians have been working on Wall's conjecture, posed by Wall in a 1971 paper, which said that all finitely generated groups are accessible. Roughly, this means that every finitely generated group can be constructed from finite and one-ended groups via a finite number of amalgamated free products and HNN extensions over finite subgroups. In view of the Stallings theorem about ends of groups, one-ended groups are precisely those finitely generated infinite groups that cannot be decomposed nontrivially as amalgamated products or HNN-extensions over finite subgroups.Dunwoody proved the Wall conjecture for finitely presented groups in 1985. In 1991 he finally disproved Wall's conjecture by finding a finitely generated group that is not accessible. Dunwoody found a graph-theoretic proof of Stallings' theorem about ends of groups in 1982, by constructing certain tree-like automorphism invariant graph decompositions. This work has been developed to an important theory in the book Groups acting on graphs, Cambridge University Press, 1989, with Warren Dicks. In 2002 Dunwoody put forward a proposed proof of the Poincaré conjecture. The proof generated considerable interest among mathematicians, but a mistake was quickly discovered and the proof was withdrawn. The conjecture was later proven by Grigori Perelman, following the program of Richard S. Hamilton. (en) Martin John Dunwoody (né le 3 novembre 1938) est professeur émérite de mathématiques à l'Université de Southampton, en Angleterre. (fr)
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is Link from a Wikipage to another Wikipage of	List of University of Southampton people November 3 List of group theory topics Bass–Serre theory Stallings theorem about ends of groups C. T. C. Wall Dunwoody, Martin Dunwoody (surname) Cohomological dimension Colin P. Rourke Grushko theorem Muller–Schupp theorem Martin dunwoody Martin John Dunwoody
is Wikipage redirect of	Dunwoody, Martin Martin dunwoody Martin John Dunwoody
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