Results 161 to 170 of about 793 (190)

On generalized FC-groups

Journal of Group Theory, 2008
Let \(D_i\) be the class of groups with \(i\) conjugacy classes of infinite size and let \(D\) be the union of all \(D_i\) for all \(i=0,1,2,\dots\). In these terms \(D_0\) is exactly the class of FC-groups. In this article the authors investigate the \(D\)-groups.
M. HERZOG, LONGOBARDI, Patrizia, MAJ, Mercede   +2 more
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On the Wielandt subgroup of generalized FC-groups

International Journal of Algebra and Computation, 2014
We extend to soluble FC*-groups, the class of generalized FC-groups introduced in [de Giovanni, Russo and Vincenzi, Groups with restricted conjugacy classes, Serdica Math. J. 28(3) (2002) 241–254], the characterization of finite soluble T-groups, and some results on the Wielandt subgroup, obtained recently in [Kaplan, On finite T-groups and the ...
G. Kaplan, VINCENZI, Giovanni
openaire   +3 more sources

GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS

Journal of Algebra and Its Applications, 2011
Let 𝔛 be a class of groups. A group G is said to be minimal non-𝔛 if all proper subgroups of G are 𝔛-groups but G itself is not. The aim of this paper is to study the class of minimal non-FCn-groups, where FCn(n is a positive integer) is a class of generalized FC-groups introduced in [F. de Giovanni, A. Russo and G.
Imperatore D., Russo A., Vincenzi G.
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Generalized FC-groups

2011
It is well-known that groups with finite conjugacy classes (i.e., FC-groups) can be considered as the most natural tool in order to study properties which are common both to finite groups and abelian groups. The attempt to investigate wider classes of groups generalizing both finiteness and nilpotency suggests the introduction of the classes of FCn ...
E. Romano, RUSSO, Alessio, G. Vincenzi
openaire   +2 more sources

Conjugately dense subgroups in generalized FC-groups.

2009
Summary: A subgroup \(H\) of a group \(G\) is called conjugately dense in \(G\) if \(H\) has nonempty intersection with each class of conjugate elements in \(G\). The knowledge of conjugately dense subgroups is related with an unsolved problem in group theory, as testified in the Kourovka Notebook.
Erfanian, A, RUSSO, Francesco
openaire   +2 more sources

FC¯-GROUPS AND THEIR GENERALIZATIONS

Journal of the London Mathematical Society, 1991
T. S. Wu, J. S. Yang
openaire   +1 more source

Some topics in the theory of generalized fc-groups

2011
A finiteness condition is a group-theoretical property which is possessed by all finite groups: thus it is a generalization of finiteness. This embraces an immensely wide collection of properties like, for example, finiteness, finitely generated, the maximal condition and so on. There are also numerous finiteness conditions which restrict, in some way,
openaire   +1 more source

Integrable Kuralay Equations: Geometry, Solutions and Generalizations

Symmetry, 2022
Ratbay Myrzakulov
exaly  

A generalization ofFC-groups

Archiv der Mathematik, 1983
openaire   +1 more source

Some generalized FC groups of matrices

Ukrainian Mathematical Journal, 1976
openaire   +1 more source