Computation with Finitely Presented Groups is popular PDF and ePub book, written by Charles C. Sims in 1994-01-28, 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, Computation with Finitely Presented Groups can be Read Online from any device for your convenience.
Computation with Finitely Presented Groups Book PDF Summary
Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.
Detail Book of Computation with Finitely Presented Groups PDF
- Author : Charles C. Sims
- Release : 28 January 1994
- Publisher : Cambridge University Press
- ISBN : 9780521432139
- Genre : Mathematics
- Total Page : 624 pages
- Language : English
- PDF File Size : 21,5 Mb
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