Groups St Andrews 2005: Volume 2C. M. Campbell 'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four 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 by John Meakin (Lincoln, Nebraska) and Ákos Seress (Ohio State). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 25 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important. |
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abelian action acts Algebra associated Assume automorphism bound called central character commutator subgroup complete conjecture conjugate connected consider construction contains Corollary corresponding coset enumeration covering cyclic defined definition denote derived diagram discuss elements embedded equal equations example exists extension fact factor field finite group finite simple groups functor give given graph group G group of order Hence identity implies induced Introduction inverse monoid isomorphic Lemma length Let G locally Math matrix maximal subgroups minimal Moreover nilpotency class nilpotent normal subgroup Note obtain p-Frattini p-groups P-local particular permutation positive possible presentation prime problem proof properties Proposition prove question quotient rank References relations respectively result satisfies semigroups sequence solvable structure subgroup of G Suppose surfaces Sylow Theorem theory transitive trivial University