Finite groups admitting some coprime operator groups
Enrico Jabara (2006)
Matematički Vesnik
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Enrico Jabara (2006)
Matematički Vesnik
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Vikas Bist (1991)
Publicacions Matemàtiques
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Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic zero.
Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Cliff David, James Wiegold (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Howard Smith, James Wiegold (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Patrizia Longobardi, Mercede Maj, Howard Smith (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Giovanni Cutolo, Howard Smith (2012)
Open Mathematics
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Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of the additive group A of a locally finite field F by a subgroup K of the multiplicative group of F, where K acts by multiplication on A and generates F as a ring. Non-(nilpotent-by-Chernikov) extensions of this latter kind exist and are...
Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Leonid Kurdachenko, Sevgi Atlıhan, Nikolaj Semko (2014)
Open Mathematics
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The main aim of this article is to examine infinite groups whose non-abelian subgroups are subnormal. In this sense we obtain here description of such locally finite groups and, as a consequence we show several results related to such groups.