Groups of Prime Power Order

... having exactly p fixed points, Math. Scand. 62 (1988), 153–172. B.W. King, Normal subgroups of groups of prime-power order, in: Proceedings of the 2nd International Conference on the Theory of Groups, pp. 401–408, Lecture Notes ...

Author: I︠A︡. G. Berkovich

Publisher: Walter de Gruyter

ISBN: 9783110207170

Category: Mathematics

Page: 639

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Main description: This is the first of three volumes on finite p-group theory. It presents the state of the art and in addition contains numerous new and easy proofs of famous theorems, many exercises (some of them with solutions), and about 1500 open problems. It is expected to be useful to certain applied mathematics areas, such as combinatorics, coding theory, and computer sciences. The book should also be easily comprehensible to students and scientists with some basic knowledge of group theory and algebra.

Ischia Group Theory 2004

Math. Soc. 38 (1973), 465–470. The influence of 2-Sylow intersections on the structure of finite simple groups, Proceedings 2nd International Conference Theory of Groups, Canberra 1973, Lecture Notes in Mathematics, vol. 372, 1974, pp.

Author: Zvi Arad

Publisher: American Mathematical Soc.

ISBN: 9780821837115

Category: Mathematics

Page: 263

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Experts in the theory of finite groups and in representation theory provide insight into various aspects of group theory, such as the classification of finite simple groups, character theory, groups with special properties, table algebras, etc. Information for our distributors include: This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Purity Spectra and Localisation

M. C. R. Butler, The 2-adic representations of Klein's four group, pp. 197—203 in Proceedings of the 2nd International Conference on Theory of Groups, Lecture Notes in Mathematics, Vol. 372, Springer-Verlag, 1974.

Author: Mike Prest

Publisher: Cambridge University Press

ISBN: 9781139643894

Category: Mathematics

Page:

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It is possible to associate a topological space to the category of modules over any ring. This space, the Ziegler spectrum, is based on the indecomposable pure-injective modules. Although the Ziegler spectrum arose within the model theory of modules and plays a central role in that subject, this book concentrates specifically on its algebraic aspects and uses. The central aim is to understand modules and the categories they form through associated structures and dimensions, which reflect the complexity of these, and similar, categories. The structures and dimensions considered arise particularly through the application of model-theoretic and functor-category ideas and methods. Purity and associated notions are central, localisation is an ever-present theme and various types of spectrum play organising roles. This book presents a unified, coherent account of material which is often presented from very different viewpoints and clarifies the relationships between these various approaches.

Proceedings of the Second International Conference on the Theory of Groups

This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems.

Author: M.F. Newman

Publisher: Lecture Notes in Mathematics

ISBN: UOM:39015014357571

Category: Mathematics

Page: 740

View: 474

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This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems. The manuscripts were typed by Mrs Geary, the bulk of the bibliographie work was done by Mrs Pinkerton, and a number of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, Pride, Rangaswamy and Stewart. I here reeord my thanks to all these people for their lightening of the editorial burden. M. F. Newrnan CONTENTS 1 Introduction . . 8 ~yan, Periodic groups of odd exponent Reinhold Baer, Einbettungseigenschaften von Normalteilern: der Schluss vom 13 Endlichen aufs Unendliche D. W. Barnes, Characterisation of the groups with the Gaschütz cohomology property 63 Gi Ibert Baumslag, Finitely presented metabe1ian groups 65 Gi Ibert Baumslag, Some problems on one-relator groups 75 A. J. Ba~, J. Kautsky and J. W. Wamsley, Computation in nilpotent groups (application) 82 Wi I I iam W. Boone, Between logic and group theory 90 Richard Brauer, On the structure of blocks of characters of finite groups 103 A. M. Brunner, Transitivity-systems of certain one-relator groups 131 Egg8r M. Bryant, Characteristic subgroups of free groups 141 ~y~, Metabe1ian varieties of groups 150 R. A. Bryce and John Cossey, Subdirect product c10sed Fitting c1asses 158 R. G.

Proceedings of the Second International Conference on the Theory of Groups

In addition, Held's result [3] shows that G can contain no infinite 2-group. ... References [1] Nicolas Bourbaki, Elements of Mathematics: General Topology, Part I (Hermann, Paris; Addison-Wesley, ... Lecture Notes in Mathematics, 5.

Author: M.F. Newman

Publisher: Springer

ISBN: 9783662215715

Category: Mathematics

Page: 740

View: 217

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Annotation This volume consists of papers presented to the Second International Conference on the Theory of Groups held in Canberra in August 1973 together with areport by the chairman of the Organizing Committee and a collection of problems. The manuscripts were typed by Mrs Geary, the bulk of the bibliographie work was done by Mrs Pinkerton, and a number of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, Pride, Rangaswamy and Stewart. I here reeord my thanks to all these people for their lightening of the editorial burden. M.F. Newrnan CONTENTS 1 Introduction . . 8 yan, Periodic groups of odd exponent Reinhold Baer, Einbettungseigenschaften von Normalteilern: der Schluss vom 13 Endlichen aufs Unendliche D.W. Barnes, Characterisation of the groups with the Gaschutz cohomology property 63 Gi Ibert Baumslag, Finitely presented metabe1ian groups 65 Gi Ibert Baumslag, Some problems on one-relator groups 75 A.J. Ba, J. Kautsky and J.W. Wamsley, Computation in nilpotent groups (application) 82 Wi I I iam W. Boone, Between logic and group theory 90 Richard Brauer, On the structure of blocks of characters of finite groups 103 A.M. Brunner, Transitivity-systems of certain one-relator groups 131 Egg8r M. Bryant, Characteristic subgroups of free groups 141 y, Metabe1ian varieties of groups 150 R.A. Bryce and John Cossey, Subdirect product c10sed Fitting c1asses 158 R.G."

Use of Mathematical Literature

Neumann, Peter M., “Transitive permutation groups of prime degree in Proceedings of the international conference on the theory of groups, Canberra, 1973 (ed. M.F. Newman), Lecture Notes in Mathematics 372, Springer, Berlin (1974) 45.

Author: A.R. Dorling

Publisher: Butterworth-Heinemann

ISBN: 9781483164724

Category: Mathematics

Page: 272

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Use of Mathematical Literature discusses the bibliographic concerns of mathematical literature. The book is comprised of 14 chapters that cover characteristics of mathematical literature and provide reviews of some of the major literature in various mathematical fields. The text first discusses the role of the literature in mathematics, and then proceeds to tackling major organizations, journals, and reference materials. Next, the book provides critical accounts of the major literature in various mathematical fields, such as combinatorics, topology, and mathematical programming. The book will be of great use to students, practitioners, and researchers of mathematics. Other profession handling math literature, such as teachers, librarians, and translators will also find this book invaluable.

Knots Groups and 3 Manifolds AM 84 Volume 84

Math. Soc. 17 (1974), 394-405. [5] Gruenberg, K. W., Cohomological Topics in Group Theory. Lecture Notes in Mathematics 143. Springer-Verlag. ... Proceedings of the Second International Conference on the Theory of Groups, Canberra 1973.

Author: Lee Paul Neuwirth

Publisher: Princeton University Press

ISBN: 9781400881512

Category: Mathematics

Page: 346

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There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.

Office Hours with a Geometric Group Theorist

[236] Jean-Pierre Serre. Amalgames et points fixes. In Proceedings of the Second International Conference on the Theory of Groups (Australian Nat. Univ., Canberra, 1973), pages 633–640. Lecture Notes in Math., Vol. 372, Berlin, 1974.

Author: Matt Clay

Publisher: Princeton University Press

ISBN: 9781400885398

Category: Mathematics

Page: 456

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Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.