Anti-CC-groups and anti-PC-groups.

Russo, Francesco

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Displaying similar documents to “Anti-CC-groups and anti-PC-groups.”

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...

Soluble products of two locally finite groups with min- $p$ for every prime $p$

Bernhard Amberg (1983)

Rendiconti del Seminario Matematico della Università di Padova

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Groups whose all subgroups are ascendant or self-normalizing

Leonid Kurdachenko, Javier Otal, Alessio Russo, Giovanni Vincenzi (2011)

Open Mathematics

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This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups,...

Carter subgroups and injectors in a class of locally finite groups

B. Hartley, M. J. Tomkinson (1988)

Rendiconti del Seminario Matematico della Università di Padova

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On the Structure of the Normal Subgroups of a Group: Nilpotency.

J.C. BEIDLEMAN, D.J.S. ROBINSON (1991)

Forum mathematicum

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Artinian and noetherian factorized groups

Bernhard Amberg (1976)

Rendiconti del Seminario Matematico della Università di Padova

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On minimal conditions related to Miller-Moreno type groups

Brunella Bruno, Richard E. Phillips (1983)

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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Groups with dense subnormal subgroups

Francesco De Giovanni, Alessio Russo (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Groups with small deviation for non-subnormal subgroups

Leonid Kurdachenko, Howard Smith (2009)

Open Mathematics

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We introduce the notion of the non-subnormal deviation of a group G. If the deviation is 0 then G satisfies the minimal condition for nonsubnormal subgroups, while if the deviation is at most 1 then G satisfies the so-called weak minimal condition for such subgroups (though the converse does not hold). Here we present some results on groups G that are either soluble or locally nilpotent and that have deviation at most 1. For example, a torsion-free locally nilpotent with deviation at...

The nilpotency of some groups with all subgroups subnormal.

Leonid A. Kurdachenko, Howard Smith (1998)

Publicacions Matemàtiques

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Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.