Homological group theory : proceedings of a symposium, held at Durham in September 1977, on "Homological and combinatorial techniques in group theory"

supported by the Science Research Council ; organised by the London Mathematical Society ; edited by C.T.C. Wall

In 1977 several eminent mathematicians were invited to Durham to present papers at a short conference on homological and combinatorial techniques in group theory. The lectures, published here, aimed at presenting in a unified way new developments in the area. Group theory is approached from a geometrical viewpoint and much of the material has not previously been published. The various ways in which topological ideas can be used in group theory are also brought together. The volume concludes with an extensive set of problems, ranging from explicit questions demanding detailed calculation to fundamental questions motivating research in the area. These lectures will be of interest mainly to researchers in pure mathematics but will also prove useful in connection with relevant postgraduate courses.

「Nielsen BookData」より


  • Preface
  • Introduction
  • 1. Traces and Euler characteristics Hyman Bass
  • 2. Groups of virtually finite dimension Kenneth S. Brown
  • 3. Free abelianised extensions of finite groups K. W. Gruenberg
  • 4. Arithmetic groups J.-P. Serre
  • 5. Topological methods in group theory Peter Scott and Terry Wall
  • 6. An example of a finite presented solvable group Herbert Abels
  • 7. SL3 (Fq[t]) is not finitely presentable Helmut Behr
  • 8. Two-dimensional Poincare duality groups and pairs Robert Bieri and Beno Eckmann
  • 9. Metabelian quotients of finitely presented soluble groups are finitely presented Robert Bieri and Ralph Strebel
  • 10. Soluble groups with coherent group rings Robert Bieri and Ralph Strebel
  • 11. Cohomological aspects of 2-graphs, II Peter J. Cameron
  • 12. Recognizing free factors M. J. Dunwoody
  • 13. Trees of homotopy of (n, m)-complexes Michael Dyer
  • 14. Geometric structure of surface mapping class groups W. J. Harvey
  • 15. Cohomology theory of aspherical groups and of small cancellation groups Johannes Huebschmann
  • 16. Finite groups of deficiency zero D. L. Johnson and E. F. Robertson
  • 17. Aquivalenzklassen von Gruppenbeschreibungen, Identitaten und einfacher Homotopietyp in niederen Dimensionen Wolfgang Metzler
  • 19. Applications of Nielsen's reduction method to the solution of combinatorial problems in group theory: a survey Gerhard Rosenberger
  • 20. Chevalley groups over polynomial rings Christophe Soule
  • List of problems edited by Terry Wall.

「Nielsen BookData」より


書名 Homological group theory : proceedings of a symposium, held at Durham in September 1977, on "Homological and combinatorial techniques in group theory"
著作者等 London Mathematical Society
Science Research Council
Wall, Charles Terence Clegg
Wall C. T. C.
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 1979
ページ数 ix, 394 p.
大きさ 23 cm
ISBN 0521227291
NCID BA01124330
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言語 英語
出版国 イギリス