Computational Group Theory and the Theory of Groups, II

• Main Authors: Kappe, Luise-Charlotte, Magidin, Arturo, Morse, Robert Fitzgerald
• Format: eBook
• Language: English
• Published: Providence American Mathematical Society 2010
• Edition: 1
• Subjects: Computational complexity; Congresses; Group theory

Table of Contents:

• Intro -- Contents -- Preface -- The probabilistic zeta function -- Periodicities for graphs of p-groups beyond coclass -- Computing covers of Lie algebras -- Enumerating subgroups of the symmetric group -- Weight five basic commutators as relators -- 1. Introduction -- 2. Preliminary results -- 3. Rank 3 -- 4. Rank 4 -- 5. Rank 5 and greater -- Appendix A. A list of critical commutators in rank 3 -- Appendix B. Some important weight six basic commutators -- Appendix C. Some important transformations of nonbasic commutators -- References -- Basic commutators as relations: A computational perspective -- Groups of minimal order which are not n-power closed -- On the covering number of small alternating groups -- Certain homological functors of 2-generator p-groups of class 2 -- Geometric algorithms for resolutions for Bieberbach groups -- Nonabelian tensor product of soluble minimax groups -- Finite groups have short rewriting systems