[PDF] Groups Canberra 1989 eBook

Author : Victor Guba
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 39,56 MB
Release : 1997
Category : Mathematics
ISBN : 0821806394

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Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.

Author : Warren Dicks
Publisher : American Mathematical Soc.
Page : 96 pages
File Size : 20,34 MB
Release : 1996
Category : Mathematics
ISBN : 0821805649

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This monograph contains a proof of the Bestvina-Handel Theorem (for any automorphism of a free group of rank n, the fixed group has rank at most n) that to date has not been available in book form. The account is self contained, simplified, purely algebraic, and extends the results to an arbitrary family of injective endomorphisms. The topological proof by Bestvina Handel is translated into the language of groupoids, and many details previously left to the reader are meticulously verified in this text.

Author : Sean Cleary
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 37,22 MB
Release : 2002
Category : Mathematics
ISBN : 0821828223

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This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

Author : K. T. Arasu
Publisher : Walter de Gruyter
Page : 480 pages
File Size : 42,93 MB
Release : 1996
Category : Mathematics
ISBN : 9783110147919

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No detailed description available for "Groups, Difference Sets, and the Monster".