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Author : René Hartung
Release : 2012
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Computation with Finitely L-presented Groups by : René Hartung
Download or read book Computation with Finitely L-presented Groups written by René Hartung. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles C. Sims
Release : 1994-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 138/5 ( reviews)
Book Synopsis Computation with Finitely Presented Groups by : Charles C. Sims
Download or read book Computation with Finitely Presented Groups written by Charles C. Sims. This book was released on 1994-01-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Charles C. Sims
Release : 2014-05-18
Genre : Combinatorial group theory
Kind : eBook
Book Rating : 604/5 ( reviews)
Book Synopsis Computation with Finitely Presented Groups by : Charles C. Sims
Download or read book Computation with Finitely Presented Groups written by Charles C. Sims. This book was released on 2014-05-18. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the basic algorithmic ideas behind accepted methods for computing with finitely presented groups.
Author : Jon F. Carlson
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 152/5 ( reviews)
Book Synopsis Cohomology Rings of Finite Groups by : Jon F. Carlson
Download or read book Cohomology Rings of Finite Groups written by Jon F. Carlson. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature.
Author : D. L. Johnson
Release : 1997-05-15
Genre : Mathematics
Kind : eBook
Book Rating : 422/5 ( reviews)
Book Synopsis Presentations of Groups by : D. L. Johnson
Download or read book Presentations of Groups written by D. L. Johnson. This book was released on 1997-05-15. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an introduction to combinatorial group theory. Any reader who has completed first courses in linear algebra, group theory and ring theory will find this book accessible. The emphasis is on computational techniques but rigorous proofs of all theorems are supplied.This new edition has been revised throughout, including new exercises and an additional chapter on proving that certain groups are infinite.
