Finite and Locally Finite Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Schriftenreihe: | NATO ASI Series, Series C: Mathematical and Physical Sciences
471 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni |
| Beschreibung: | 1 Online-Ressource (XII, 458 p) |
| ISBN: | 9789401103299 9789401041454 |
| ISSN: | 1389-2185 |
| DOI: | 10.1007/978-94-011-0329-9 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:58Z |
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| isbn | 9789401103299 9789401041454 |
| issn | 1389-2185 |
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| spelling | Hartley, B. Verfasser aut Finite and Locally Finite Groups edited by B. Hartley, G. M. Seitz, A. V. Borovik, R. M. Bryant Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994 Dordrecht Springer Netherlands 1995 1 Online-Ressource (XII, 458 p) txt rdacontent c rdamedia cr rdacarrier NATO ASI Series, Series C: Mathematical and Physical Sciences 471 1389-2185 This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni Mathematics Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Mathematik Seitz, G. M. Sonstige oth Borovik, A. V. Sonstige oth Bryant, R. M. Sonstige oth https://doi.org/10.1007/978-94-011-0329-9 Verlag Volltext |
| spellingShingle | Hartley, B. Finite and Locally Finite Groups Mathematics Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Mathematik |
| title | Finite and Locally Finite Groups |
| title_alt | Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994 |
| title_auth | Finite and Locally Finite Groups |
| title_exact_search | Finite and Locally Finite Groups |
| title_full | Finite and Locally Finite Groups edited by B. Hartley, G. M. Seitz, A. V. Borovik, R. M. Bryant |
| title_fullStr | Finite and Locally Finite Groups edited by B. Hartley, G. M. Seitz, A. V. Borovik, R. M. Bryant |
| title_full_unstemmed | Finite and Locally Finite Groups edited by B. Hartley, G. M. Seitz, A. V. Borovik, R. M. Bryant |
| title_short | Finite and Locally Finite Groups |
| title_sort | finite and locally finite groups |
| topic | Mathematics Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Mathematik |
| topic_facet | Mathematics Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Mathematik |
| url | https://doi.org/10.1007/978-94-011-0329-9 |
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