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Displaying similar documents to “Isotype subgroups of mixed groups”

Isotype knice subgroups of global Warfield groups

Charles K. Megibben, William Ullery (2006)

Czechoslovak Mathematical Journal

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If H is an isotype knice subgroup of a global Warfield group G , we introduce the notion of a k -subgroup to obtain various necessary and sufficient conditions on the quotient group G / H in order for H itself to be a global Warfield group. Our main theorem is that H is a global Warfield group if and only if G / H possesses an H ( ℵ 0 ) -family of almost strongly separable k -subgroups. By an H ( ℵ 0 ) -family we mean an Axiom 3 family in the strong sense of P. Hill. As a corollary to the main theorem, we are able...

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.