The maximal subgroups of the low-dimensional finite classical groups /:
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.
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| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2013.
|
| Series: | London Mathematical Society lecture note series ;
407. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods. |
| Physical Description: | 1 online resource |
| Bibliography: | Includes bibliographical references (pages 429-434) and index. |
| ISBN: | 9781139192576 1139192574 9781461944799 1461944791 9781107274945 110727494X 9781107272149 1107272149 9781107273719 1107273714 1107271622 9781107271623 1107276977 9781107276970 1107278201 9781107278202 1139891952 9781139891950 |
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MARC
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| 100 | 1 | |a Bray, John N. | |
| 245 | 1 | 4 | |a The maximal subgroups of the low-dimensional finite classical groups / |c John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2013. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 407 | |
| 588 | 0 | |a Online resource; title from digital title page (viewed on July 18, 2013). | |
| 504 | |a Includes bibliographical references (pages 429-434) and index. | ||
| 520 | |a Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods. | ||
| 505 | 0 | |a Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem. | |
| 505 | 8 | |a 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions. | |
| 546 | |a English. | ||
| 650 | 0 | |a Finite groups. |0 http://id.loc.gov/authorities/subjects/sh85048354 | |
| 650 | 0 | |a Maximal subgroups. |0 http://id.loc.gov/authorities/subjects/sh87001592 | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Sous-groupes maximaux. | |
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| 650 | 7 | |a Grupos finitos |2 embne | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Maximal subgroups |2 fast | |
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| 776 | 0 | 8 | |i Print version: |a Bray, John N. (John Nicholas). |t Maximal subgroups of the low-dimensional finite classical groups |z 9780521138604 |w (OCoLC)844872000 |
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Record in the Search Index
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn856432113 |
|---|---|
| _version_ | 1829094967672307712 |
| adam_text | |
| any_adam_object | |
| author | Bray, John N. |
| author2 | Holt, Derek F. Roney-Dougal, Colva M. |
| author2_role | |
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| author_facet | Bray, John N. Holt, Derek F. Roney-Dougal, Colva M. |
| author_role | |
| author_sort | Bray, John N. |
| author_variant | j n b jn jnb |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA177 |
| callnumber-raw | QA177 .B73 2013 |
| callnumber-search | QA177 .B73 2013 |
| callnumber-sort | QA 3177 B73 42013 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem. 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions. |
| ctrlnum | (OCoLC)856432113 |
| dewey-full | 512/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.23 |
| dewey-search | 512/.23 |
| dewey-sort | 3512 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre_facet | Electronic book. |
| id | ZDB-4-EBA-ocn856432113 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-11T08:41:32Z |
| institution | BVB |
| isbn | 9781139192576 1139192574 9781461944799 1461944791 9781107274945 110727494X 9781107272149 1107272149 9781107273719 1107273714 1107271622 9781107271623 1107276977 9781107276970 1107278201 9781107278202 1139891952 9781139891950 |
| language | English |
| oclc_num | 856432113 |
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| publishDate | 2013 |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Bray, John N. The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. Cambridge : Cambridge University Press, 2013. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 407 Online resource; title from digital title page (viewed on July 18, 2013). Includes bibliographical references (pages 429-434) and index. Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods. Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem. 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions. English. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Maximal subgroups. http://id.loc.gov/authorities/subjects/sh87001592 Groupes finis. Sous-groupes maximaux. MATHEMATICS Algebra Intermediate. bisacsh Grupos finitos embne Finite groups fast Maximal subgroups fast Electronic book. Holt, Derek F. Roney-Dougal, Colva M. has work: The maximal subgroups of the low-dimensional finite classical groups (Text) https://id.oclc.org/worldcat/entity/E39PCGfHDpMgcjPqk7Gqhtt8BX https://id.oclc.org/worldcat/ontology/hasWork Print version: Bray, John N. (John Nicholas). Maximal subgroups of the low-dimensional finite classical groups 9780521138604 (OCoLC)844872000 London Mathematical Society lecture note series ; 407. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Bray, John N. The maximal subgroups of the low-dimensional finite classical groups / London Mathematical Society lecture note series ; Cover; Contents; Foreword by Martin Liebeck; Preface; 1 Introduction; 1.1 Background; 1.2 Notation; 1.3 Some basic group theory; 1.4 Finite fields and perfect fields; 1.5 Classical forms; 1.6 The classical groups and their orders; 1.7 Outer automorphisms of classical groups; 1.8 Representation theory; 1.9 Tensor products; 1.10 Small dimensions and exceptional isomorphisms; 1.11 Representations of simple groups; 1.12 The natural representations of the classical groups; 1.13 Some results from number theory; 2 The main theorem and the types of geometric subgroups; 2.1 The main theorem. 5.11 Summary of the S2*-maximals6 Containments involving S-subgroups; 6.1 Introduction; 6.2 Containments between S1- and S2*-maximal subgroups; 6.3 Containments between geometric and S*-maximal subgroups; 7 Maximal subgroups of exceptional groups; 7.1 Introduction; 7.2 The maximal subgroups of Sp4(2e) and extensions; 7.3 The maximal subgroups of Sz(q) and extensions; 7.4 The maximal subgroups of G2(2e) and extensions; 8 Tables; 8.1 Description of the tables; 8.2 The tables; References; Index of Definitions. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Maximal subgroups. http://id.loc.gov/authorities/subjects/sh87001592 Groupes finis. Sous-groupes maximaux. MATHEMATICS Algebra Intermediate. bisacsh Grupos finitos embne Finite groups fast Maximal subgroups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048354 http://id.loc.gov/authorities/subjects/sh87001592 |
| title | The maximal subgroups of the low-dimensional finite classical groups / |
| title_auth | The maximal subgroups of the low-dimensional finite classical groups / |
| title_exact_search | The maximal subgroups of the low-dimensional finite classical groups / |
| title_full | The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. |
| title_fullStr | The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. |
| title_full_unstemmed | The maximal subgroups of the low-dimensional finite classical groups / John N. Bray, Derek F. Holt, Colva M. Roney-Dougal. |
| title_short | The maximal subgroups of the low-dimensional finite classical groups / |
| title_sort | maximal subgroups of the low dimensional finite classical groups |
| topic | Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Maximal subgroups. http://id.loc.gov/authorities/subjects/sh87001592 Groupes finis. Sous-groupes maximaux. MATHEMATICS Algebra Intermediate. bisacsh Grupos finitos embne Finite groups fast Maximal subgroups fast |
| topic_facet | Finite groups. Maximal subgroups. Groupes finis. Sous-groupes maximaux. MATHEMATICS Algebra Intermediate. Grupos finitos Finite groups Maximal subgroups Electronic book. |
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