Diagram Groups is popular PDF and ePub book, written by Victor Guba in 1997, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Diagram Groups can be Read Online from any device for your convenience.
Diagram Groups Book PDF Summary
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.
Detail Book of Diagram Groups PDF
- Author : Victor Guba
- Release : 20 September 1997
- Publisher : American Mathematical Soc.
- ISBN : 9780821806395
- Genre : Mathematics
- Total Page : 130 pages
- Language : English
- PDF File Size : 17,7 Mb
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