Permutation groups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1996
|
| Series: | Graduate texts in mathematics
163 |
| Subjects: | |
| Online Access: | UBW01 Volltext |
| Item Description: | Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature |
| Physical Description: | 1 Online-Ressource (XII, 346 S.) |
| ISBN: | 9781461207313 9781461268857 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0731-3 |
Staff View
MARC
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Record in the Search Index
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| author | Dixon, John D. 1937- Mortimer, Brian |
| author_GND | (DE-588)1031802444 |
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| dewey-full | 512.66 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512.66 |
| dewey-sort | 3512.66 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0731-3 |
| format | Electronic eBook |
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| id | DE-604.BV042419606 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461207313 9781461268857 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855023 |
| oclc_num | 863720229 |
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| physical | 1 Online-Ressource (XII, 346 S.) |
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| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate Texts in Mathematics |
| spelling | Dixon, John D. 1937- Verfasser (DE-588)1031802444 aut Permutation groups John D. Dixon ; Brian Mortimer New York [u.a.] Springer 1996 1 Online-Ressource (XII, 346 S.) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 163 0072-5285 Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature Mathematics K-theory K-Theory Mathematik Permutationsgruppe (DE-588)4173833-0 gnd rswk-swf Permutationsgruppe (DE-588)4173833-0 s DE-604 Mortimer, Brian Verfasser aut Graduate texts in mathematics 163 (DE-604)BV035421258 163 https://doi.org/10.1007/978-1-4612-0731-3 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dixon, John D. 1937- Mortimer, Brian Permutation groups Graduate texts in mathematics Mathematics K-theory K-Theory Mathematik Permutationsgruppe (DE-588)4173833-0 gnd |
| subject_GND | (DE-588)4173833-0 |
| title | Permutation groups |
| title_auth | Permutation groups |
| title_exact_search | Permutation groups |
| title_full | Permutation groups John D. Dixon ; Brian Mortimer |
| title_fullStr | Permutation groups John D. Dixon ; Brian Mortimer |
| title_full_unstemmed | Permutation groups John D. Dixon ; Brian Mortimer |
| title_short | Permutation groups |
| title_sort | permutation groups |
| topic | Mathematics K-theory K-Theory Mathematik Permutationsgruppe (DE-588)4173833-0 gnd |
| topic_facet | Mathematics K-theory K-Theory Mathematik Permutationsgruppe |
| url | https://doi.org/10.1007/978-1-4612-0731-3 |
| volume_link | (DE-604)BV035421258 |
| work_keys_str_mv | AT dixonjohnd permutationgroups AT mortimerbrian permutationgroups |