Groups St Andrews 2001 in Oxford. Volume 2 / edited by C.M. Campbell, E.F. Robertson, G.C. Smith.

Proceedings of a conference held from 5 August 2001 - 18 August 2001 in the Mathematical Institute of the University of Oxford - Intro.

Includes bibliographical references.

Print version record.

This second volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Peter Palfy (Eotvos Lorand, Budapest) and Michael Vaughan-Lee (Oxford). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in Group Theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Cover -- Series-title -- Title -- Copyright -- Contents of Volume 2 -- Contents of Volume 1 -- INTRODUCTION -- GRACEFULNESS, GROUP SEQUENCINGS AND GRAPH FACTORIZATIONS -- 1 Introduction -- 2 Regular factorization and labeling of the vertices of a graph by group elements -- 3 Regular Oberwolfach problems and group sequencings -- 4 Transitive large sets of disjoint decompositions and group se-quencings -- 5 Inner transitive Hering configurations -- References -- ORBITS IN FINITE GROUP ACTIONS -- 1 Introduction -- 2 The numberof orbits -- 3 The number of orbit sizes -- 4 Large orbits.

5 The k(GV)-problem -- 6 Orbits of permutation groups on the power set -- References -- GROUPS WITH FINITELY GENERATED INTEGRAL HOMOLOGIES -- 1 Introduction -- 2 Preliminaries on homologies of abelian groups with trivial coef-ficients and on the geometric invariant for modules over -- 3 More on the homology with coefficients in F -- 4 Some results about homology -- 5 Proof of Theorem A -- 6 Proof of Corollary B -- References -- INVARIANTS OF DISCRETE GROUPS, LIE ALGEBRAS AND PRO-p GROUPS -- 1 Introduction -- 2 Definitions of the geometric invariants and basic properties.

3 Groups acting on spaces -- 4 Finite generation of modules and m-tameness -- 5 Homological methods -- 6 Homological properties of pro-p groups -- 6.1 Basic properties of pro-p modules -- 6.2 Homological finiteness properties of metabelian pro-p groups -- 7 Homological properties of Lie algebras -- 8 Valuation theory : link between the Lie, pro-p and discrete cases -- 9 Related topics -- References -- GROUPS WITH ALL NON-SUBNORMAL SUBGROUPS OF FINITE RANK -- 1 Introduction -- References -- ON SOME INFINITE DIMENSIONAL LINEAR GROUPS -- References -- GROUPS AND SEMISYMMETRIC GRAPHS.

1 Introduction -- 2 Preliminaries -- 3 Bi-coset graph -- 4 Main results -- 5 Problems -- References -- ON THE COVERS OF FINITE GROUPS -- 1 Minimal covers -- 2 Covers with conjugate subgroups -- 3 Hall covers -- References -- GROUPLAND -- Lemma 1 -- Locally Graded Groups -- References -- ON MAXIMAL NILPOTENT pie-SUBGROUPS -- 1 Introduction -- 2 The existence of N pie -injectors -- 3 Abound of the number of conjugacy classes relatively to the class Npie -- References -- CHARACTERS OF p-GROUPS AND SYLOW p-SUBGROUPS -- 1 Introduction -- 2 Bounding the derived length and the nilpotence class.

3 Minimal characters and normal subgroups -- 4 Miscellaneous questions -- 5 Character degrees of Sylow p-subgroups -- References -- ON THE RELATION BETWEEN GROUP THEORY AND LOOP THEORY -- 1 Introduction -- 2 Loops, groups and transversals -- 3 Nilpotent and solvable loops -- 4 Abelian inner mapping groups -- References -- GROUPS AND LATTICES -- 1 Introduction -- 2 Overview -- 3 Local stucture -- 4 Laws in normal subgroup lattices -- 5 Distributive normal subgroup lattices -- 6 Subgroup lattices of direct powers -- References -- FINITE GENERALIZED TETRAHEDRON GROUPS WITH A CUBIC RELATOR.

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