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Paul Eugene Schupp (born March 12, 1937, d … Paul Eugene Schupp (born March 12, 1937, died January 24, 2022) was a professor emeritus of mathematics at the University of Illinois at Urbana Champaign. He is known for his contributions to geometric group theory, computational complexity and the theory of computability. He received his Ph.D. from the University of Michigan in 1966 under the direction of Roger Lyndon. Together with Roger Lyndon he is the coauthor of the book "Combinatorial Group Theory" which provided a comprehensive account of the subject of Combinatorial Group Theory, starting with the work of Dehn in the 1910s and to late 1970s and remains a modern standard for the subject of small cancellation theory. Starting 1980's he worked on problems that explored the connections between Group theory and Computer Science and Complexity Theory. Together with David Muller he proved that a finitely generated group G has context-free word problem if and only if G is virtually free, which is now known as Muller–Schupp theorem. In 1977, Schupp received a Guggenheim Fellowship. In 2012, he was named an inaugural fellow of the American Mathematical Society. In 2017, the conference "Groups and Computation" was organized at Stevens Institute of Technology celebrating the mathematical contributions of Paul Schupp.mathematical contributions of Paul Schupp.
, Paul Eugene Schupp (* 12. März 1937 in Cle … Paul Eugene Schupp (* 12. März 1937 in Cleveland, Ohio) ist ein US-amerikanischer Mathematiker und Informatiker. Paul Schupp studierte an der Case Western Reserve University mit dem Bachelor-Abschluss 1959 sowie an der University of Michigan in Ann Arbor mit dem Master-Abschluss 1961 und der Promotion 1966 bei Roger Lyndon (Dissertation On Dehn’s Algorithm and the Conjugacy Problem). Danach war er 1966/67 Assistant Professor an der University of Wisconsin in Madison sowie ab 1967 Assistant Professor, ab 1971 Associate Professor und ab 1975 Professor an der University of Illinois at Urbana-Champaign. Schupp war Gastwissenschaftler am Courant-Institut (1969/70), an der Universität London, der Universität Singapur, bei der Sowjetischen Akademie der Wissenschaften (1982), an der Universität Paris VII (von 1984 bis 1992 in der Fakultät für Informatik), an der Universität Bordeaux und der Universität Marne-la-Vallée. Er befasst sich mit der Theorie unendlicher Gruppen, kombinatorischer Gruppentheorie (heute als geometrische Gruppentheorie bezeichnet), Automatentheorie und Entscheidungsproblemen in algebraischen Systemen. Insbesondere befasst er sich mit dem Zusammenhang von Gruppentheorie und Berechenbarkeitsproblemen. Mit Lyndon schrieb er ein Standardwerk über kombinatorische Gruppentheorie, in der sie auch die Standard-Darstellung der Small cancellation theory gaben. Mit David Muller bewies er 1983, dass für eine endlich erzeugte Gruppe das Wortproblem genau dann dem einer kontextfreien Sprache entspricht, falls virtuell frei ist, das heißt, es gibt eine Untergruppe von endlichem Index in , die isomorph zu einer freien Gruppe ist (Satz von Muller-Schupp). 1977 war er Guggenheim Fellow. 2012 wurde er Fellow der American Mathematical Society. Fellow der American Mathematical Society.
, Paul Eugene Schupp, né le 12 mars 1937, es … Paul Eugene Schupp, né le 12 mars 1937, est professeur émérite en mathématiques à l'université de l'Illinois à Urbana-Champaign. Il est connu par ses contributions à la théorie géométrique des groupes, la théorie de la complexité et la théorie de la calculabilité.plexité et la théorie de la calculabilité.
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Paul Eugene Schupp (* 12. März 1937 in Cle … Paul Eugene Schupp (* 12. März 1937 in Cleveland, Ohio) ist ein US-amerikanischer Mathematiker und Informatiker. Paul Schupp studierte an der Case Western Reserve University mit dem Bachelor-Abschluss 1959 sowie an der University of Michigan in Ann Arbor mit dem Master-Abschluss 1961 und der Promotion 1966 bei Roger Lyndon (Dissertation On Dehn’s Algorithm and the Conjugacy Problem). Danach war er 1966/67 Assistant Professor an der University of Wisconsin in Madison sowie ab 1967 Assistant Professor, ab 1971 Associate Professor und ab 1975 Professor an der University of Illinois at Urbana-Champaign.niversity of Illinois at Urbana-Champaign.
, Paul Eugene Schupp, né le 12 mars 1937, es … Paul Eugene Schupp, né le 12 mars 1937, est professeur émérite en mathématiques à l'université de l'Illinois à Urbana-Champaign. Il est connu par ses contributions à la théorie géométrique des groupes, la théorie de la complexité et la théorie de la calculabilité.plexité et la théorie de la calculabilité.
, Paul Eugene Schupp (born March 12, 1937, d … Paul Eugene Schupp (born March 12, 1937, died January 24, 2022) was a professor emeritus of mathematics at the University of Illinois at Urbana Champaign. He is known for his contributions to geometric group theory, computational complexity and the theory of computability. He received his Ph.D. from the University of Michigan in 1966 under the direction of Roger Lyndon. 1966 under the direction of Roger Lyndon.
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