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On the Wielandt subgroup of generalized FC-groups
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
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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
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Conjugately dense subgroups in generalized FC-groups.
2009Summary: 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
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FC¯-GROUPS AND THEIR GENERALIZATIONS
Journal of the London Mathematical Society, 1991T. S. Wu, J. S. Yang
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Generalized differentiability of fuzzy-valued functions
Fuzzy Sets and Systems, 2013Barnabas Bede, Luciano Stefanini
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