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Displaying similar documents to “Finite groups whose poset of conjugacy classes of subgroups is isomorphic to the one of an abelian group”

Finite groups with primitive Sylow normalizers

A. D'Aniello, C. De Vivo, G. Giordano (2002)

Bollettino dell'Unione Matematica Italiana

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We prove that are primitive the finite groups whose normalizers of the Sylow subgroups are primitive. We classify the groups of such class, denoted by N ⁢ P , and we study the Schunck classes whose boundary is contained in N ⁢ P . We give also necessary and sufficient conditions in order that the projectors be subnormally embedded.

The determination of abelian Hall subgroups by a conjugacy class structure.

Wolfgang Kimmerle, Robert Sandling (1992)

Publicacions Matemàtiques

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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.