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Computation with Finitely Presented Groups
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.
Groups '93 Galway [and] St. Andrews
This two-volume book contains selected papers from the international conference 'Groups 1993 Galway / St Andrews' which was held at University College Galway in August 1993. The wealth and diversity of group theory is represented in these two volumes. As with the Proceedings of the earlier 'Groups-St Andrews' conferences it is hoped that the articles in these Proceedings will, with their many references, prove valuable both to experienced researchers and also to new postgraduates interested in group theory.
New Horizons in pro-p Groups
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Flowering Plants. Monocotyledons
When Rolf Dahlgren and I embarked on preparing this book series, Rolf took prime responsibility for monocotyledons, which had interested him for a long time. After finishing his comparative study and family classification of the monocots, he devoted much energy to the acquisition and editing of family treatments for the present series. After his untimely death, Peter Goldblatt, who had worked with him, continued to handle further incoming monocot manuscripts until, in the early 1990s, his other obligations no longer allowed him to continue. At that time, some 30 manuscripts in various states of perfection had accumulated, which seemed to form a solid basis for a speedy completion of the FGVP monocots; with the exception of the grasses and orchids which would appear in separate volumes. I felt a strong obligation to do everything to help in publishing the manuscripts that had been put into our hands. I finally decided to take charge of them personally, although during my life as a botainst I had never seriously been interested in monocots.
Annual Report
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Transporters as Targets for Drugs
With contributions by numerous experts
