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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Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Russo, Francesco (2007)
International Journal of Mathematics and Mathematical Sciences
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Felix Leinen (1986)
Rendiconti del Seminario Matematico della Università di Padova
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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...
Javier Otal, Juan Manuel Peña (1988)
Publicacions Matemàtiques
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This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions. If P is a theoretical property of groups and subgroups, we show that a locally graded group P satisfies the minimal conditions for subgroups not having P if and only if either G is a Cernikov group or every subgroup of G satisfies P, for certain values of P concerning normality, nilpotency and related ideas.
A. Berkman, M. Kuzucuoglu, E. Özyurt (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Richard E. Phillips (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Javier Otal, Juan Manuel Peña (1989)
Rendiconti del Seminario Matematico della Università di Padova
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B. Hartley (1976)
Compositio Mathematica
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