Words: notes on verbal width in groups
After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive accou...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Schriftenreihe: | London Mathematical Society lecture note series
361 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive account of the known results, both old and new. The more elementary methods are developed from scratch, leading to self-contained proofs and improvements of some classic results about infinite soluble groups. This is followed by a detailed introduction to more advanced topics in finite group theory, and a full account of the applications to profinite groups. The author presents proofs of some very recent results and discusses open questions for further research. This self-contained account is accessible to research students, but will interest all research workers in group theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 121 pages) |
| ISBN: | 9781139107082 |
| DOI: | 10.1017/CBO9781139107082 |
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| 520 | |a After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive account of the known results, both old and new. The more elementary methods are developed from scratch, leading to self-contained proofs and improvements of some classic results about infinite soluble groups. This is followed by a detailed introduction to more advanced topics in finite group theory, and a full account of the applications to profinite groups. The author presents proofs of some very recent results and discusses open questions for further research. This self-contained account is accessible to research students, but will interest all research workers in group theory | ||
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Datensatz im Suchindex
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| author | Segal, Daniel 1947- |
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| ctrlnum | (ZDB-20-CBO)CR9781139107082 (OCoLC)851033295 (DE-599)BVBBV043940136 |
| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139107082 |
| format | Electronic eBook |
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| id | DE-604.BV043940136 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781139107082 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349106 |
| oclc_num | 851033295 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xi, 121 pages) |
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| publishDate | 2009 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Segal, Daniel 1947- Verfasser (DE-588)133203670 aut Words notes on verbal width in groups Dan Segal Cambridge Cambridge University Press 2009 1 online resource (xi, 121 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 361 Title from publisher's bibliographic system (viewed on 05 Oct 2015) After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive account of the known results, both old and new. The more elementary methods are developed from scratch, leading to self-contained proofs and improvements of some classic results about infinite soluble groups. This is followed by a detailed introduction to more advanced topics in finite group theory, and a full account of the applications to profinite groups. The author presents proofs of some very recent results and discusses open questions for further research. This self-contained account is accessible to research students, but will interest all research workers in group theory Finite groups Profinite groups Solvable groups Group theory Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-74766-0 https://doi.org/10.1017/CBO9781139107082 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Segal, Daniel 1947- Words notes on verbal width in groups Finite groups Profinite groups Solvable groups Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4072157-7 |
| title | Words notes on verbal width in groups |
| title_auth | Words notes on verbal width in groups |
| title_exact_search | Words notes on verbal width in groups |
| title_full | Words notes on verbal width in groups Dan Segal |
| title_fullStr | Words notes on verbal width in groups Dan Segal |
| title_full_unstemmed | Words notes on verbal width in groups Dan Segal |
| title_short | Words |
| title_sort | words notes on verbal width in groups |
| title_sub | notes on verbal width in groups |
| topic | Finite groups Profinite groups Solvable groups Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Finite groups Profinite groups Solvable groups Group theory Gruppentheorie |
| url | https://doi.org/10.1017/CBO9781139107082 |
| work_keys_str_mv | AT segaldaniel wordsnotesonverbalwidthingroups |