How groups grow / / Avinoam Mann [[electronic resource]]

• Record Nr.: UNINA9910778946303321
• Autore: Mann Avinoam <1937-2023, >
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2012
• 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
• Descrizione fisica: 1 online resource (ix, 199 pages) : digital, PDF file(s)
• Collana: London Mathematical Society lecture note series ; ; 395
• Classificazione: MAT 200f
• Disciplina: 512.2
• Soggetti: Group theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. [187]-194) and index.
• 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.
• Sommario/riassunto: Growth of groups is an innovative new branch of group theory. This is the first book to introduce the subject from scratch. It begins with basic definitions and culminates in the seminal results of Gromov and Grigorchuk and more. The proof of Gromov's theorem on groups of polynomial growth is given in full, with the theory of asymptotic cones developed on the way. Grigorchuk's first and general groups are described, as well as the proof that they have intermediate growth, with explicit bounds, and their relationship to automorphisms of regular trees and finite automata. Also discussed are generating functions, groups of polynomial growth of low degrees, infinitely generated groups of local polynomial growth, the relation of intermediate growth to amenability and residual finiteness, and conjugacy class growth. This book is valuable reading for researchers, from graduate students onward, working in contemporary group theory.

Stuttgarter Ausgabe Briefe Erzieher zur Demokratie : Briefe 1945-1949 / / Theodor Heuss ; herausgegeben von Ernst Wolfgang Becker

• Record Nr.: UNINA9910345999903321
• Autore: Heuss Theodor <1884-1963.>
• Pubbl/distr/stampa: Munchen, : Saur, c2007
• ISBN: 9786611995300; 9781281995308; 1281995304; 9783598441165; 3598441169
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (621 p.)
• Collana: Theodor Heuss
• Classificazione: NQ 6685
• Altri autori (Persone): BeckerErnst Wolfgang
• Disciplina: 943.087092
• Soggetti: Presidents - Germany (West); Germany (West) History Sources; Germany (West) Politics and government
• Lingua di pubblicazione: Tedesco
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: Frontmatter -- Inhalt -- Vorwort des Editionsbeirates -- Theodor Heuss: Lebensstationen -- Einführung:Theodor Heuss als Erzieher zur Demokratie.Briefe 1945–1949 -- Zur Edition -- Verzeichnis der Briefe -- Briefe -- Backmatter
• Sommario/riassunto: Theodor Heuss gehört zu den maßgeblichen Begründern eines politischen Neubeginns in Deutschland. Schon kurz nach Kriegsende betraute ihn die amerikanische Besatzungsmacht mit der Herausgabe der „Rhein-Neckar-Zeitung“, bald darauf mit der Leitung des württemberg-badischen „Kultministeriums“. Als liberaler Parteipolitiker gewann er Ansehen in allen vier Besatzungszonen. Seine wichtigste Aufgabe fand er 1948/49 in den Verfassungsberatungen des Parlamentarischen Rates, in denen er entscheidend zur Entstehung des Grundgesetzes beitrug. Zudem plädierte der Publizist und Redner Heuss für eine moralische Erneuerung und schonungslose Auseinandersetzung mit den Verbrechen der Deutschen unter dem nationalsozialistischen Regime. So war er seiner Zeit ein Erzieher zur Demokratie. In den 220 ausgewählten und weitgehend noch ; unpublizierten Briefen von Theodor Heuss spiegeln sich seine aufregende Biographie und die dramatischen Zeitläufte bis zu seiner Wahl zum Bundespräsidenten im September 1949 wechselseitig. Sie sind das außergewöhnliche Zeugnis eines virtuosen Briefschreibers, der mit zahlreichen Zeitgenossen korrespondierte. Schließlich ermöglichen die privaten Briefe in einzigartiger Weise eine Annäherung an den Menschen Theodor Heuss.; Theodor Heuss is one of the most significant founders of German politics' new political beginning in Germany. As a liberal party politician and leader of the Württemberg-Baden "Kultministerium" (ministry of culture) he gained respect in all four occupied zones. He faced his most important task during 1948/49 in the Parlamentarischer Rat (parliamentary council), where he made an essential contribution to the creation of the constitution. Both as a journalist and an "educator for democracy", Heuss advocated a moral reformation and the ruthless examination of crimes committed by the German people under the National Socialist regime.