On a property of groups with coverings.
Erfanian, Ahmad, Russo, Francesco G. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Erfanian, Ahmad, Russo, Francesco G. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Miao, Long, Qian, Guohua (2009)
Sibirskij Matematicheskij Zhurnal
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Russo, Francesco (2007)
International Journal of Mathematics and Mathematical Sciences
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Francesco De Giovanni, Alessio Russo (1999)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Stewart E. Stonehewer (1980)
Rendiconti del Seminario Matematico della Università di Padova
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C. H. Houghton (1973)
Compositio Mathematica
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J.C. BEIDLEMAN, D.J.S. ROBINSON (1991)
Forum mathematicum
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Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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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,...
Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Changwen Li, Xuemei Zhang, Xiaolan Yi (2013)
Colloquium Mathematicae
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The major aim of the present paper is to strengthen a nice result of Shemetkov and Skiba which gives some conditions under which every non-Frattini G-chief factor of a normal subgroup E of a finite group G is cyclic. As applications, some recent known results are generalized and unified.