The Frattini subgroup of a direct product of groups
Vlastimil Dlab, Vladimír Kořínek (1960)
Czechoslovak Mathematical Journal
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Vlastimil Dlab, Vladimír Kořínek (1960)
Czechoslovak Mathematical Journal
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A. Arikan, T. Özen (2004)
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...
Saad Adnan (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The intention of this paper is to provide an elementary proof of the following known results: Let G be a finite group of the form G = AB. If A is abelian and B has a nilpotent subgroup of index at most 2, then G is soluble.
Carlo Casolo (1987)
Rendiconti del Seminario Matematico della Università di Padova
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van der Waall, Robert W., de Nijs, Cynthia H.W.M. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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