A -theorem for -injectors in finite groups
M. J. Iranzo, A. Martínez-Pastor, F. Pérez-Monasor (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On complemented subgroups of finite groups”
A -theorem for -injectors in finite groups
On finite soluble groups verifying an extremal condition on subgroups.
Fernando Tuccillo (1991)
Collectanea Mathematica
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We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.
Note on the -nilpotency in finite groups.
Bakić, Radoš (2004)
Novi Sad Journal of Mathematics
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On subgroups of ZJ type of an F-injector for Fitting classes F between E and ES.
Ana Martínez Pastor (1994)
Publicacions Matemàtiques
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Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between E y ES, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, (1968), 555-564).
Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups
Artemovych, O. (2002)
Serdica Mathematical Journal
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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
On central nilpotency in finite loops with nilpotent inner mapping groups
Markku Niemenmaa, Miikka Rytty (2008)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider finite loops whose inner mapping groups are nilpotent. We first consider the case where the inner mapping group of a loop is the direct product of a dihedral group of order and an abelian group. Our second result deals with the case where is a -loop and is a nilpotent group whose nonabelian Sylow subgroups satisfy a special condition. In both cases it turns out that is centrally nilpotent.