Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Schriftenreihe: | London Mathematical Society lecture note series
361 |
| Links: | https://doi.org/10.1017/CBO9781139107082 |
| 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. |
| Umfang: | 1 Online-Ressource (xi, 121 Seiten) |
| ISBN: | 9781139107082 |
Internformat
MARC
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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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| indexdate | 2025-07-01T08:32:01Z |
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| spelling | Segal, Daniel 1947- Words notes on verbal width in groups Dan Segal Cambridge Cambridge University Press 2009 1 Online-Ressource (xi, 121 Seiten) txt c cr London Mathematical Society lecture note series 361 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. Erscheint auch als Druck-Ausgabe 9780521747660 |
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| title_full | Words notes on verbal width in groups Dan Segal |
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| title_full_unstemmed | Words notes on verbal width in groups Dan Segal |
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