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[null,"1.","Record Nr.",null,"UNINA9910787297203321"]
[null,null,"Autore",null,"Clark Beverly Lyon"]
[null,null,"Titolo",null,"The afterlife of little women / / Beverly Lyon Clark"]
[null,null,"Pubbl/distr/stampa",null,"Baltimore, Maryland : , : Johns Hopkins University Press, , 2014"]
[{"$nulls":4},"©2014"]
[null,null,"ISBN",null,"1-4214-1559-3"]
[null,null,"Descrizione fisica",null,"1 online resource (284 pages) : illustrations"]
[null,null,"Disciplina",null,"813/.4"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Becoming everyone's aunt, 1868-1900 -- Waxing nostalgic, 1900-1930 -- Outwitting poverty and war, 1930-1960 -- Celebrating sisterhood and passion since 1960."]
[null,"2.","Record Nr.",null,"UNINA9910960164903321"]
[null,null,"Autore",null,"Grüninger Matthias"]
[null,null,"Titolo",null,"Cubic Action of a Rank One Group"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2022"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9781470470227"]
[{"$nulls":4},"9781470451349"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (154 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.276"]
[null,null,"Classificazione",null,"20E4251E2420G1517C50"]
[null,null,"Disciplina",null,"512/.2"]
[{"$nulls":4},"512.2"]
[null,null,"Soggetti",null,"Group theory"]
[{"$nulls":4},"Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings"]
[{"$nulls":4},"Geometry -- Finite geometry and special incidence structures -- Buildings and the geometry of diagrams"]
[{"$nulls":4},"Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over arbitrary fields"]
[{"$nulls":4},"Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures associated with other structures"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- 2.1. Moufang sets -- 2.2. Rank one groups -- 2.3. Some ring theory -- 2.4. Jordan algebras -- 2.5. Envelopes of special Jordan algebras -- 2.6. Quadratic spaces and Clifford Jordan algebras -- 2.7. Involutory sets and pseudo-quadratic forms -- 2.8. Cubic norm structures -- 2.9. Freudenthal triple systems -- 2.10. Structurable algebras -- 2.11. The Clifford algebra of a Freudenthal triple system -- Chapter 3. Cubic Action -- Chapter 4. Examples of cubic modules -- 4.1. Pseudo-quadratic spaces -- 4.2. Adjoint action -- 4.3. The Tits-Kantor-Koecher module -- 4.4. Quadratic pairs without commuting root subgroups -- 4.5. Elementary groups of Freudenthal triple systems -- 4.6. Connection with Moufang Quadrangles -- 4.7. Suzuki and Ree groups -- Chapter 5. The structure of a cubic module -- Chapter 6. Construction of irreducible submodules -- Chapter 7. Cubic rank one groups with trivial quadratic kernel -- Chapter 8. A characterisation of the adjoint module of \\PSL₂( ) -- Chapter 9. Cubic "]
[{"$nulls":4},"rank one groups with non-trivial quadratic kernel -- Chapter 10. Cubic rank one groups with Hermitian quadratic kernel -- Chapter 11. Cubic rank one groups with commutative quadratic kernel -- Bibliography -- Back Cover."]
[null,null,null,"Sommario/riassunto","\"We consider a rank one group G = A,B acting cubically on a module V , this means [V, A, A,A] = 0 but [V, G, G,G] = 0. We have to distinguish whether the group A0 := CA([V,A]) CA(V/CV (A)) is trivial or not. We show that if A0 is trivial, G is a rank one group associated to a quadratic Jordan division algebra. If A0 is not trivial (which is always the case if A is not abelian), then A0 defines a subgroup G0 of G acting quadratically on V . We will call G0 the quadratic kernel of G. By a result of Timmesfeld we have G0 = SL2(J,R) for a ring R and a special quadratic Jordan division algebra J R. We show that J is either a Jordan algebra contained in a commutative field or a Hermitian Jordan algebra. In the second case G is the special unitary group of a pseudo-quadratic form of Witt index 1, in the first case G is the rank one group for a Freudenthal triple system. These results imply that if (V,G) is a quadratic pair such that no two distinct root groups commute and charV = 2, 3, then G is a unitary group or an exceptional algebraic group\"--"]