Groups with soluble minimax conjugate classes of subgroups

A classical result of Neumann characterizes the groups in which each subgroup has finitely many conjugates only as central-by-finite groups. If X is a class of groups, a group G is said to have X-conjugate classes of subgroups if G/coreG(NG(H)) 2 X for each subgroup H of G. Here we study groups whi...

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Bibliographic Details
Main Author: Francesco Russo
Format: Article
Language:English
Published: Ferdowsi University of Mashhad 2008-01-01
Series:Iranian Journal of Numerical Analysis and Optimization
Subjects:
Online Access:https://ijnao.um.ac.ir/article_24401_6df15ff724c0ef55fd1ece0d41224349.pdf