Groups St Andrews 2005

著者

• Campbell, Colin Matthew
• Quick, M. R.
• Robertson, E. F
• Smith, G. C.

書誌事項

Groups St Andrews 2005

edited by C.M. Campbell ... [et al.]

（London Mathematical Society lecture note series, 339-340）

Cambridge University Press, c2007

• v. 1 : pbk
• v. 2 : pbk

注記

Other editors: M.R. Quick, E.F. Robertson, G.C. Smith

Includes bibliographical references

内容説明・目次

巻冊次

v. 1 : pbk ISBN 9780521694698

内容説明

'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this first 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 Peter Cameron (Queen Mary, London) and Rostislav Grogorchuk (Texas A&M, USA). 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.

目次

• Introduction
• 1. Aspects of infinite permutation groups Peter J. Cameron
• 2. Self-similarity and branching in group theory Rostislav Grigorchuk and Zoran Sunic
• 3. On surface groups: motivating examples in combinatorial group theory Peter Ackermann, Benjamin Fine and Gerhard Rosenberger
• 4. Nilpotent p-algebras and factorized p-groups Bernhard Amberg and Lev Kazarin
• 5. Classification of finite groups by the number of element centralizers Ali Reza Ashrafi and Bijan Taeri
• 6. Algorithmic use of the Mal'cev correspondence Bjoern Assmann
• 7. Minimal but inefficient presentations for semi-direct products of finite cyclic monoids Firat Ates and A. Sinan C evik
• 8. The modular isomorphism problem for finite p-groups with a cyclic subgroup of index p2 Czeslaw Baginski and Alexander Konovalov
• 9. On one-generated formations A. Ballester-Bolinches, Clara Calvo and R. Esteban-Romero
• 10. New results on products of finite groups A. Ballester-Bolinches, John Cossey and M. C. Pedraza-Aguilera
• 11. Radical locally finite T-groups A. Ballester-Bolinches, H. Heineken and Tatiana Pedraza
• 12. Explicit tilting complexes for the Broue conjecture on 3-blocks Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen and Mary Schaps
• 13. Conjugacy classes of p-regular elements in p-solvable groups Antonio Beltran and Maria Jose Felipe
• 14. An algorithm for the unit group of the Burnside ring of a finite group Robert Boltje and Goetz Pfeiffer
• 15. Integral group ring of the first Mathieu simple group Victor Bovdi and Alexander Konovalov
• 16. Embedding properties in direct products B. Brewster, A. Martinez-Pastor and M. D. Perez-Ramos
• 17. Malcev presentations for subsemigroups of groups - a survey Alan J. Cain
• 18. Finite groups with extremal conditions on sizes of conjugacy classes and on degrees of irreducible characters David Chillag and Marcel Herzog
• 19. Conjugacy class structure in simple algebraic groups Martin Cook
• 20. On automorphisms of products of groups Jill Dietz
• 21. Linear groups with infinite central dimension Martyn R. Dixon and Leonid A. Kurdachenko
• 22. G-automata, counter languages and the Chomsky hierarchy Murray Elder
• 23. An embedding theorem for groups universally equivalent to free nilpotent groups Benjamin Fine, Anthony M. Gaglione and Dennis Spellman
• 24. Irreducible word problems in groups Ana R. Fonseca, Duncan W. Parkes and Richard M. Thomas
• 25. Recent growth results Eric M. Freden and Teresa Knudson.

巻冊次

v. 2 : pbk ISBN 9780521694704

内容説明

'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 Akos 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.

目次

• Introduction
• 1. Groups and semigroups: connections and contrasts John Meakin
• 2. Toward the classification of s-arc transitive graphs Akos Seress
• 3. Non-cancellation group computation for some finitely generated nilpotent groups Habtay Ghebrewold
• 4. Permutation and quasi-permutation representations of the Chevalley groups Maryam Ghorbany
• 5. The shape of solvable groups with odd order S. P. Glasby
• 6. Embedding in finitely presented lattice-ordered groups: explicit presentations for constructions A. M. W. Glass, Vincenzo Marra and Daniele Mundici
• 7. A note on abelian subgroups of p-groups George Glauberman
• 8. On kernel flatness Akbar Golchin
• 9. On proofs in finitely presented groups George Havas and Colin Ramsay
• 10. Computing with 4-Engel groups George Havas and M. R. Vaughan-Lee
• 11. On the size of the commutator subgroup in finite groups Marcel Herzog, Gil Kaplan and Arieh Lev
• 12. Groups of infinite matrices Waldemar Holubowski
• 13. Triply factorised groups and nearrings Peter Hubert
• 14. On the space of cyclic trigonal Riemann surfaces of genus 4 Milagros Izquierdo and Daniel Ying
• 15. On simple Kn-groups for n = 5, 6 A. Jafarzadeh and A. Iranmanesh
• 16. Products of Sylow subgroups and the solvable radical Gil Kaplan and Dan Levy
• 17. On commutators in groups Luise-Charlotte Kappe and Robert Fitzgerald Morse
• 18. Inequalities for the Baer invariant of finite groups Saeed Kayvanfar
• 19. Automorphisms with centralizers of small rank Evgeny Khukhro and Victor Mazurov
• 20. 2-signalizers and normalizers of Sylow 2-subgroups in finite simple groups Anatoly S. Kondratiev and Victor D. Mazurov
• 21. On properties of abnormal and pronormal subgroups in some infinite groups Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin
• 22. P-localizing group extensions Karl Lorensen
• 23. On the n-covers of exceptional groups of Lie type Maria Silvia Lucido
• 24. Positively discriminating groups O. Macedonska
• 25. Automorphism groups of some chemical graphs G. A. Moghani, A. R. Ashrafi and M. R. Admadi
• 26. On c-normal subgroups of some classes of finite groups Z. Mostaghim
• 27. Fong characters and their fields of values Lucia Sanus
• 28. Arithmetical properties of finite groups W. J. Shi
• 29. On prefrattini subgroups of finite groups: a survey X. Soler-Escriva
• 30. Frattini extensions and class field theory Th. Weigel
• 31. The nilpotency class of groups with fixed point free automorphisms of prime order Lawrence Wilson.

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詳細情報

• NII書誌ID(NCID): BA80133767
• ISBN:
  • 0521694698
  • 0521694701
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 2 v.
• 大きさ: 23 cm
• 親書誌ID:
  • BA0005393X