Groups St Andrews 1997 in Bath

doi:10.1017/CBO9780511666148

This two-volume book contains selected papers from the international conference 'Groups St Andrews 1997 in Bath'. The articles cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier 'Groups St Andrews' conferences have had a major impact on the development of group theory and these volumes should be equally important.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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Introduction
pp ix-x
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Galois groups through invariant relations
pp 379-393
- By Alexander Hulpke, School of Mathematical and Computational Sciences, University of St Andrews, The North Haugh, St Andrews, Fife KY16 9SS, Scotland
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Construction of Co3. An example of the use of an integrated system for computational group theory
pp 394-409
- By Alexander Hulpke, School of Mathematical and Computational Sciences, University of St Andrews, The North Haugh, St Andrews, Fife KY16 9SS, Scotland, Steve Linton, School of Mathematical and Computational Sciences, University of St Andrews, The North Haugh, St Andrews, Fife KY16 9SS, Scotland
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Embedding some recursively presented groups
pp 410-416
- By D. L. Johnson, Department of Mathematics and Computer Science, UWI Mona, Kingston 7, Jamaica
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The Dedekind-Frobenius group determinant: new life in an old problem
pp 417-428
- By Kenneth W. Johnson, The Pennsylvania State University, Abington Campus, 1600 Woodland Road, Abington, PA 19001, U.S.A.
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Group characters and π-sharpness
pp 429-435
- By Kenneth W. Johnson, Pennsylvania State University, Abington Campus, 1600 Woodland Road, Abington, PA 19001, U.S.A., Eirini Poimenidou, New College of USF, 5700 N.Tamiami Trail, Sarasota, FL 34243, U.S.A.
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Permutation group algorithms via black box recognition algorithms
pp 436-446
- By William M. Kantor, University of Oregon, Eugene, OR 97403, U.S.A., Ákos Seress, The Ohio State University, Columbus, OH 43210, U.S.A.
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Nonabelian tensor products of groups: the commutator connection
pp 447-454
- By Luise-Charlotte Kappe, SUNY at Binghamton, New York, NY 13902-6000, U.S.A.
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Simple subalgebras of generalized Witt algebras of characteristic zero
pp 455-459
- By Naoki Kawamoto, Maritime Safety Academy, 5-1, Wakaba, Kure 737, Japan
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Applications of the Baker-Hausdorff formula in the theory of finite p-groups
pp 460-473
- By E. I. Khukhro, Institute of Mathematics, Novosibirsk-90, 630090, Russia School of Mathematics, University of Wales, College of Cardiff, CF2 4YH, Wales
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Generalizations of the restricted Burnside problem for groups with automorphisms
pp 474-491
- By E. I. Khukhro, Institute of Mathematics, Novosibirsk-90, 630090, Russia School of Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff, CF2 4YH, Wales
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The ∑m-conjecture for a class of metabelian groups
pp 492-502
- By Dessislava H. Kochloukova, Trinity College, Cambridge, England
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Rings with periodic groups of units II
pp 503-511
- By Jan Krempa, Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
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Some free-by-cyclic groups
pp 512-516
- By Ian J. Leary, Faculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ, England, Graham A. Niblo, Faculty of Mathematical Studies, University of Southampton, Southampton SO17 1BJ, England, Daniel T. Wise, Department of Mathematics, Cornell University, Ithaca, NY 14853, U.S.A.
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The residually weakly primitive geometries of the Suzuki simple group Sz(8)
pp 517-526
- By Dimitri Leemans, Université Libre de Bruxelles, Département de Mathématiques - C.P.216, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
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Semigroup identities and Engel groups
pp 527-531
- By Patrizia Longobardi, Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy, Mercede Maj, Dipartimento di Ingegneria dell'Informazione Matematica Applicata, via Salvator Allende, 84081 Baronissi, Salerno, Italy
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Groups whose elements have given orders
pp 532-537
- By V. D. Mazurov, Institute of Mathematics, Novosibirsk, 630080 Russia, W. J. Shi, Department of Mathematics, Southwest-China Teachers University, Beibei, Chongqing, Sichuan, People's Republic of China
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The Burnside groups and small cancellation theory
pp 538-559
- By Jonathan P. McCammond, Department of Mathematics, Texas A & M University, College Station, TX 77843, U.S.A.
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Solvable Engel groups with nilpotent normal closures
pp 560-567
- By Robert Fitzgerald Morse, Department of Mathematics and Computer Science, Eastern Nazarene College, Quincy, MA 02170, U.S.A.
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Nilpotent injectors in finite groups
pp 568-570
- By Anni Neumann, Universität Tübingen, Mathematisches Institut, D-72074 Tübingen, Germany
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Some groups with right Engel elements
pp 571-578
- By Werner Nickel, School of Mathematical and Computational Sciences, University of St Andrews, Fife KY16 9SS, Scotland
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The growth of finite subgroups in p-groups
pp 579-595
- By A. Yu. Ol'Shanskii, Department of Mechanics and Mathematics, Moscow Lomonosov State University, Moscow 119899, Russia
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Symplectic amalgams and extremal subgroups
pp 596-604
- By Christopher Parker, University of Birmingham, Edgbaston, Birmingham B15 2TT, England, Peter Rowley, Department of Mathematics, University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester M60 IQD, England
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Primitive prime divisor elements in finite classical groups
pp 605-623
- By Cheryl E. Praeger, Department of Mathematics, University of Western Australia, Nedlands, W. A. 6907, Australia
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On the classification of generalized Hamiltonian groups
pp 624-632
- By Denise M. Reboli, SUNY at Binghamton, Binghamton, NY 13902-6000, U.S.A.
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Permutability properties of subgroups
pp 633-638
- By Derek J. S. Robinson, Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801, U.S.A.
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When Schreier transversals grow wild
pp 639-647
- By Amnon Rosenmann, School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel
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Probabilistic group theory
pp 648-678
- By Aner Shalev, Institute of Mathematics, The Hebrew University, Jerusalem 91904, Israel
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