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How groups grow / / Avinoam Mann [[electronic resource]]
| How groups grow / / Avinoam Mann [[electronic resource]] |
| Autore | Mann Avinoam <1937-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (ix, 199 pages) : digital, PDF file(s) |
| Disciplina | 512.2 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico | Group theory |
| ISBN |
1-139-24871-5
1-107-23239-2 1-139-09512-9 1-280-48550-7 1-139-22330-5 9786613580481 1-139-21850-6 1-139-22502-2 1-139-21541-8 1-139-22159-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 1 Introduction ; 1 -- ; 2 Some Group Theory ; 15 -- ; 2.1 Finite Index Subgroups ; 15 -- ; 2.2 Growth ; 18 -- ; 2.3 Soluble and Polycyclic Groups ; 25 -- ; 2.4 Nilpotent Groups ; 27 -- ; 2.5 Isoperimetric Inequalities ; 32 -- ; 3 Groups of Linear Growth ; 36 -- ; 3.1 Linear Growth ; 36 -- ; 3.2 Linear Growth Functions ; 41 -- ; 4 The Growth of Nilpotent Groups ; 44 -- ; 4.1 Polynomial Growth of Nilpotent Groups ; 44 -- ; 4.2 Groups of Small Degree ; 50 -- ; 5 The Growth of Soluble Groups ; 56 -- ; 5.1 Soluble Groups of Polynomial Growth ; 56 -- ; 5.2 Uniform Exponential Growth of Soluble Groups ; 60 -- ; 6 Linear Groups ; 63 -- ; 7 Asymptotic Cones ; 67 -- ; 8 Groups of Polynomial Growth ; 77 -- ; 9 Infinitely Generated Groups ; 81 -- ; 10 Intermediate Growth: Grigorchuk's First Group ; 90 -- ; 11 More Groups of Intermediate Growth ; 108 -- ; 11.1 The General Grigorchuk Groups ; 108 -- ; 11.2 Groups Acting on Regular Trees ; 113 -- ; 11.3 Groups Defined by Finite Automata ; 115 -- ; 11.4 Bartholdi-Erschler Groups ; 119 -- ; 12 Growth and Amenability ; 121 -- ; 12.1 Amenability and Intermediate Growth ; 121 -- ; 12.2tMore Isoperimetric Inequalities ; 127 -- ; 13 Intermediate Growth and Residual Finiteness ; 131 -- ; 14 Explicit Calculations ; 136 -- ; 14.1 The Trefoil Group ; 136 -- ; 14.2 Wreath Products ; 139 -- ; 14.3 Free Products with Amalgamations and HNN-Extensions ; 141 -- ; 14.4 Central Products ; 146 -- ; 15 The Generating Function ; 148 -- ; 16 The Growth of Free Products ; 158 -- ; 17 Conjugacy Growth ; 176 -- ; 18 Research Problems ; 185. |
| Record Nr. | UNINA-9910457457803321 |
Mann Avinoam <1937->
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
How groups grow / / Avinoam Mann
| How groups grow / / Avinoam Mann |
| Autore | Mann Avinoam <1937-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge, : Cambridge University Press, 2012 |
| Descrizione fisica | 1 online resource (ix, 199 pages) : digital, PDF file(s) |
| Disciplina | 512.2 |
| Collana | London Mathematical Society lecture note series |
| Soggetto topico |
Group theory
Algorithms |
| ISBN |
1-139-24871-5
1-107-23239-2 1-139-09512-9 1-280-48550-7 1-139-22330-5 9786613580481 1-139-21850-6 1-139-22502-2 1-139-21541-8 1-139-22159-0 |
| Classificazione | MAT 200f |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 1 Introduction ; 1 -- ; 2 Some Group Theory ; 15 -- ; 2.1 Finite Index Subgroups ; 15 -- ; 2.2 Growth ; 18 -- ; 2.3 Soluble and Polycyclic Groups ; 25 -- ; 2.4 Nilpotent Groups ; 27 -- ; 2.5 Isoperimetric Inequalities ; 32 -- ; 3 Groups of Linear Growth ; 36 -- ; 3.1 Linear Growth ; 36 -- ; 3.2 Linear Growth Functions ; 41 -- ; 4 The Growth of Nilpotent Groups ; 44 -- ; 4.1 Polynomial Growth of Nilpotent Groups ; 44 -- ; 4.2 Groups of Small Degree ; 50 -- ; 5 The Growth of Soluble Groups ; 56 -- ; 5.1 Soluble Groups of Polynomial Growth ; 56 -- ; 5.2 Uniform Exponential Growth of Soluble Groups ; 60 -- ; 6 Linear Groups ; 63 -- ; 7 Asymptotic Cones ; 67 -- ; 8 Groups of Polynomial Growth ; 77 -- ; 9 Infinitely Generated Groups ; 81 -- ; 10 Intermediate Growth: Grigorchuk's First Group ; 90 -- ; 11 More Groups of Intermediate Growth ; 108 -- ; 11.1 The General Grigorchuk Groups ; 108 -- ; 11.2 Groups Acting on Regular Trees ; 113 -- ; 11.3 Groups Defined by Finite Automata ; 115 -- ; 11.4 Bartholdi-Erschler Groups ; 119 -- ; 12 Growth and Amenability ; 121 -- ; 12.1 Amenability and Intermediate Growth ; 121 -- ; 12.2tMore Isoperimetric Inequalities ; 127 -- ; 13 Intermediate Growth and Residual Finiteness ; 131 -- ; 14 Explicit Calculations ; 136 -- ; 14.1 The Trefoil Group ; 136 -- ; 14.2 Wreath Products ; 139 -- ; 14.3 Free Products with Amalgamations and HNN-Extensions ; 141 -- ; 14.4 Central Products ; 146 -- ; 15 The Generating Function ; 148 -- ; 16 The Growth of Free Products ; 158 -- ; 17 Conjugacy Growth ; 176 -- ; 18 Research Problems ; 185. |
| Record Nr. | UNINA-9910973322303321 |
|
Mann Avinoam <1937->
|
||
| Cambridge, : Cambridge University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||