6-BFC groups

Cliff David; James Wiegold

Displaying similar documents to “6-BFC groups”

Supplemented nilpotent groups

Jutta Hausen (1981)

Rendiconti del Seminario Matematico della Università di Padova

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On a class of finite solvable groups

James Beidleman, Hermann Heineken, Jack Schmidt (2013)

Open Mathematics

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A finite solvable group G is called an X-group if the subnormal subgroups of G permute with all the system normalizers of G. It is our purpose here to determine some of the properties of X-groups. Subgroups and quotient groups of X-groups are X-groups. Let M and N be normal subgroups of a group G of relatively prime order. If G/M and G/N are X-groups, then G is also an X-group. Let the nilpotent residual L of G be abelian. Then G is an X-group if and only if G acts by conjugation on...

Groups with Restricted Conjugacy Classes

de Giovanni, F., Russo, A., Vincenzi, G. (2002)

Serdica Mathematical Journal

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Let F C 0 be the class of all finite groups, and for each nonnegative integer n define by induction the group class FC^(n+1) consisting of all groups G such that for every element x the factor group G/CG ( <x>^G ) has the property FC^n . Thus FC^1 -groups are precisely groups with finite conjugacy classes, and the class FC^n obviously contains all finite groups and all nilpotent groups with class at most n. In this paper the known theory of FC-groups is taken as a model, and it...

Finite groups admitting some coprime operator groups

Enrico Jabara (2006)

Matematički Vesnik

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The classification of groups in which every product of four elements can be reordered

Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)

Rendiconti del Seminario Matematico della Università di Padova

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On a generalization of groups with all subgroups subnormal

A. Arikan, T. Özen (2004)

Rendiconti del Seminario Matematico della Università di Padova

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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'.

Groups with many nilpotent subgroups

Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)

Rendiconti del Seminario Matematico della Università di Padova

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Subgroups of finite index in generalized $T$ -groups

Carlo Casolo (1988)

Rendiconti del Seminario Matematico della Università di Padova

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The $p^{*} p$ -injectors of a finite group

M. J. Iranzo, M. Torres (1989)

Rendiconti del Seminario Matematico della Università di Padova

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