Computational Group Theory and the Theory of Groups, II

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Brand new. We distribute directly for the publisher. This volume consists of contributions by researchers who were invited to the Harlaxton Conference on Computational Group ... Theory and Cohomology, held in August of 2008, and to the AMS Special Session on Computational Group Theory, held in October 2008.This volume showcases examples of how Computational Group Theory can be applied to a wide range of theoretical aspects of group theory. Among the problems studied in this book are classification of $p$-groups, covers of Lie groups, resolutions of Bieberbach groups, and the study of the lower central series of free groups. This volume also includes expository articles on the probabilistic zeta function of a group and on enumerating subgroups of symmetric groups.Researchers and graduate students working in all areas of Group Theory will find many examples of how Computational Group Theory helps at various stages of the research process, from developing conjectures through the verification stage. These examples will suggest to the mathematician ways to incorporate Computational Group Theory into their own research endeavors. Read more Show Less

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Overview

This volume consists of contributions by researchers who were invited to the Harlaxton Conference on Computational Group Theory and Cohomology, held in August of 2008, and to the AMS Special Session on Computational Group Theory, held in October 2008. This volume showcases examples of how Computational Group Theory can be applied to a wide range of theoretical aspects of group theory. Among the problems studied in this book are classification of $p$-groups, covers of Lie groups, resolutions of Bieberbach groups, and the study of the lower central series of free groups. This volume also includes expository articles on the probabilistic zeta function of a group and on enumerating subgroups of symmetric groups. Researchers and graduate students working in all areas of Group Theory will find many examples of how Computational Group Theory helps at various stages of the research process, from developing conjectures through the verification stage. These examples will suggest to the mathematician ways to incorporate Computational Group Theory into their own research endeavors.

Read More Show Less

Product Details

  • ISBN-13: 9780821848050
  • Publisher: American Mathematical Society
  • Publication date: 5/28/2010
  • Series: Contemporary Mathematics Series , #511
  • Pages: 200
  • Product dimensions: 6.70 (w) x 9.90 (h) x 0.50 (d)

Table of Contents

Preface

The probabilistic zeta function Bret Benesh Benesh, Bret 1

Periodicities for graphs of p-groups beyond coclass Tobias Rossman Rossman, Tobias 11

Computing covers of Lie algebras Hamid Tavallaee Tavallaee, Hamid 25

Enumerating subgroups of the symmetric group Derek F. Holt Holt, Derek F. 33

Weight five basic commutators as relators Dennis Spellman Spellman, Dennis 39

Basic commutators as relations: A computational perspective Robert Fitzgerald Morse Morse, Robert Fitzgerald 83

Groups of minimal order which are not-n-power closed Gabriela Mendoza Mendoza, Gabriela 93

On the covering number of small alternating groups Joanne L. Redden Redden, Joanne L. 109

Certain homological functors of 2-generator p-groups of class 2 Robert Fitzgerald Morse Morse, Robert Fitzgerald 127

Geometric algorithms for resolutions for Bieberbach groups Marc Roder Roder, Marc 167

Nonabelian tensor product of soluble minimax groups Francesco Russo Russo, Francesco 179

Finite groups have short rewriting systems Jack Schmidt Schmidt, Jack 185

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