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The local structure theorem for finite groups with a large p-subgroup /

Let p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the act...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Meierfrankenfeld, U. (Ulrich), 1962- (Autor), Stellmacher, B. (Bernd) (Autor), Stroth, Gernot, 1949- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1147.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:Let p be a prime, G a finite \mathcal{K}_p-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., C_G(Q) \leq Q and N_G(U) \leq N_G(Q) for 1 \ne U \leq C_G(Q)). Let L be any subgroup of G with S\leq L, O_p(L)\neq 1 and Q\ntrianglelefteq L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup Y_L of L.
Notas:Volume 242, Number 1147 (fourth of 4 numbers), July 2016.
Previous Version: Original version posted April 8, 2016 with incorrect title.
Descripción Física:1 online resource (vii, 342 pages)
Bibliografía:Includes bibliographical references (pages 335-337) and index.
ISBN:9781470429485
1470429489
ISSN:0065-9266 ;