Conjugately dense subgroups in generalized FC-groups.
Erfanian, Ahmad, Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Erfanian, Ahmad, Russo, Francesco (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Russo, Francesco (2007)
International Journal of Mathematics and Mathematical Sciences
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Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Adolfo Ballester-Bolinches, Enric Cosme-Llópez, Ramón Esteban-Romero (2013)
Open Mathematics
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In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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J.C. BEIDLEMAN, D.J.S. ROBINSON (1991)
Forum mathematicum
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Francesco De Giovanni, Alessio Russo (1999)
Rendiconti del Seminario Matematico della Università di Padova
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C. H. Houghton (1973)
Compositio Mathematica
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Stewart E. Stonehewer (1980)
Rendiconti del Seminario Matematico della Università di Padova
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Leonid Kurdachenko, Javier Otal, Alessio Russo, Giovanni Vincenzi (2011)
Open Mathematics
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This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups,...
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...