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Listar por palabra clave "Hall subgroups"

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Listar por palabra clave "Hall subgroups"

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    A reduction theorem for a conjecture on products of two ¿-decomposable groups 
    Kazarin, L. S.; Martínez Pastor, Ana; Perez Ramos, Maria Dolores (Elsevier, 2013-04-01)
    [EN] For a set of primes pi, a group X is said to be pi-decomposable if X = X-pi x X-pi' is the direct product of a pi-subgroup X-pi and a pi'-subgroup X-pi', where pi' is the complementary of pi in the set of all prime ...
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    Determining hypercentral Hall subgroups in finite groups 
    Sotomayor, Víctor (Springer-Verlag, 2024-09)
    [EN] Let G be a finite group, and let ¿ be a set of primes. The aim of this paper is to obtain some results concerning how much information about the ¿-structure of G can be gathered from the knowledge of the sizes of ...
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    On the product of a π-group and a π-decomposable group 
    Kazarin, L.S.; Martínez Pastor, Ana; Pérez-Ramos, M.D. (Elsevier, 2007-09-15)
    [EN] The main result in the paper states the following: Let π be a set of odd primes. Let the finite group G=AB be the product of a π -decomposable subgroup A=Oπ(A)×Oπ′(A) and a π -subgroup B . Then Oπ(A)⩽Oπ(G); ...
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    On the product of two π-decomposable groups 
    Kazarin, L. S.; Martínez Pastor, Ana; Perez Ramos, Maria Dolores (European Mathematical Society-Publishing House, 2015)
    [EN] The aim of this paper is to prove the following result: let π be a set of odd primes. If the finite group G = AB is a product of two π-decomposable subgroups A = Oπ(A)×Oπ (A) and B = Oπ(B)×Oπ (B), then Oπ(A)Oπ(B)=Oπ(B)Oπ(A) ...
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    On the product of two π-decomposable soluble groups 
    Kazarin, L.S.; Martínez Pastor, Ana; Pérez-Ramos, M.D. (Universitat Autònoma de Barcelona, 2009)
    [EN] Let the group G = AB be a product of two π-decomposable subgroups A = Oπ(A) × Oπ′ (A) and B = Oπ(B) × Oπ′ (B) where π is a set of primes. The authors conjecture that Oπ(A)Oπ(B) = Oπ(B)Oπ(A) if π is a set of odd primes. ...
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    Sylow permutable subnormal subgroups of finite groups II 
    Ballester Bolinches, Adolfo; Esteban Romero, Ramón (Cambridge University Press, 2001-12)
    [EN] In this paper a local version of Agrawal's theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of this class of finite groups.