Inhaltsangabe
This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. Fischer and the author. It was extended to arbitrary groups in the 1990s by the author. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Críticas
"The book is well written: the style is concise but not hard and most of the book is not too difficult to read for a graduate student. Some parts of it are certainly suited for a class."
--Mathematical Reviews
Reseña del editor
This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. Fischer and the author. It was extended to arbitrary groups in the 1990s by the author. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Abstract Root Subgroups and Simple Groups of Lie-Type:...
Beispielbild für diese ISBN
Abstract Root Subgroups and Simple Groups of Lie-Type
Verlag:
Williston, Vermont, U.S.A.: Birkhauser, 2001
ISBN 10: 3764365323
ISBN 13: 9783764365325
Gebraucht
Hardcover
Anbieter: Bingo Used Books, Vancouver, WA, USA
Verkäuferbewertung 4 von 5 Sternen
Hardcover. Zustand: Near Fine. Zustand des Schutzumschlags: Near Fine. Hardback in near fine condition with near fine condition dust jacket. Bestandsnummer des Verkäufers 152049
Foto des Verkäufers
Abstract root subgroups and simple groups of Lie-type.
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. XIII, 389 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16498 9783764365325 Sprache: Englisch Gewicht in Gramm: 1050. Bestandsnummer des Verkäufers 2479905
Gebraucht kaufen
EUR 34,30
Versand:
EUR 40,00
Von Deutschland nach USA
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Abstract Root Subgroups & Simple Groups Of Lie-type (monographs In Mathematics)
Anbieter: Romtrade Corp., STERLING HEIGHTS, MI, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-81901
Foto des Verkäufers
Abstract Root Subgroups and Simple Groups of Lie-Type (Monographs in Mathematics, Band 95).
Anbieter: ANTIQUARIAT Franke BRUDDENBOOKS, Lübeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Gebundene Ausgabe, Gr.-8°. Zustand: Sehr gut. 2001. 402 S. Das Buch ist in sehr gutem, sauberen Zustand. Gebundenes Buch mit Original-Schutzumschlag. Dieser mit minimalen. Randläsuren. -----Inhalt:. It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite "nearly" simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called "internal geometric analysis" by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson. I Rank One Groups.- 1 Definition, examples, basic properties.- 2 On the structure of rank one groups.- 3 Quadratic modules.- 4 Rank one groups and buildings.- 5 Structure and embeddings of special rank one groups.- II Abstract Root Subgroups.- 1 Definitions and examples.- 2 Basic properties of groups generated by abstract root subgroups.- 3 Triangle groups.- 4 The radical R(G).- 5 Abstract root subgroups and Lie type groups.- III Classification Theory.- 1 Abstract transvection groups.- 2 The action of G on ?.- 3 The linear groups and EK6.- 4 Moufang hexagons.- 5 The orthogonal groups.- 6 D4(k).- 7 Metasymplectic spaces.- 8 E6(k),E7(k) and E8(k).- 9 The classification theorems.- IV Root involutions.- 1 General properties of groups generated by root involutions.- 2 Root subgroups.- 3 The Root Structure Theorem.- 4 The Rank Two Case.- V Applications.- 1 Quadratic pairs.- 2 Subgroups generated by root elements.- 3 Local BN-pairs.- References.- Symbol Index. ISBN: 9783764365325 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 1043. Bestandsnummer des Verkäufers 669031
Gebraucht kaufen
EUR 54,40
Versand:
EUR 29,12
Von Deutschland nach USA
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Abstract Root Subgroups and Simple Groups of Lie-Type (Monographs in Mathematics, 95)
Anbieter: Lucky's Textbooks, Dallas, TX, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Bestandsnummer des Verkäufers ABLIING23Apr0316110058972
Neu kaufen
EUR 103,62
Versand:
EUR 3,43
Innerhalb der USA
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Abstract Root Subgroups and Simple Groups of Lie-Type (Monographs in Mathematics, 95)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Bestandsnummer des Verkäufers ria9783764365325_new
Neu kaufen
EUR 109,93
Versand:
EUR 13,58
Von Vereinigtes Königreich nach USA
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Abstract Root Subgroups and Simple Groups of Lie Type
Verlag:
Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2001, 2001
ISBN 10: 3764365323
ISBN 13: 9783764365325
Neu
Hardcover
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite 'nearly' simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called 'internal geometric analysis' by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson. 389 pp. Englisch. Bestandsnummer des Verkäufers 9783764365325
Neu kaufen
EUR 106,99
Versand:
EUR 23,00
Von Deutschland nach USA
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Abstract Root Subgroups and Simple Groups of Lie-Type (Monographs in Mathematics, 95)
Anbieter: Mooney's bookstore, Den Helder, Niederlande
Verkäuferbewertung 4 von 5 Sternen
Zustand: Very good. Bestandsnummer des Verkäufers 9783764365325-2-2
Gebraucht kaufen
EUR 113,22
Versand:
EUR 24,95
Von Niederlande nach USA
Anzahl: 1 verfügbar
Foto des Verkäufers
Abstract Root Subgroups and Simple Groups of Lie-Type
Print-on-DemandAnbieter: moluna, Greven, Deutschland
Verkäuferbewertung 4 von 5 Sternen
Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. Bestandsnummer des Verkäufers 5279435
Neu kaufen
EUR 92,27
Versand:
EUR 48,99
Von Deutschland nach USA
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Abstract Root Subgroups and Simple Groups of Lie-Type
Anbieter: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irland
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M Aschbacher, B Fischer and the author. It was extended to arbitrary groups in the 1990s by the author. Series: Monographs in Mathematics. Num Pages: 389 pages, biography. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 747. . 2001. Hardback. . . . . Bestandsnummer des Verkäufers V9783764365325