Groups with soluble minimax conjugate classes of subgroups

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 1، شماره 1، فروردین 2008، صفحه 41-50   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v1i1.618

نویسنده

Francesco Russo^*

Mathematics Department, University of Wuerzburg, Wuerzburg, Germany

چکیده

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 which have soluble minimax conjugate classes of subgroups, giving a description in terms of G/Z(G). We also characterize FC-groups which have soluble minimax conjugate classes of subgroups.

کلیدواژه‌ها

Conjugacy classes؛ soluble minimax groups؛ FC-groups؛ polycyclic groups

مراجع

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