Zeta functions and counting finite -groups.
du Sautoy, Marcus (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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du Sautoy, Marcus (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Taeri, Buan (2003)
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Cliff David, James Wiegold (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Otera, Daniele Ettore, Russo, Francesco G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Tomas Everaert, Marino Gran (2006)
Archivum Mathematicum
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In this note we determine explicit formulas for the relative commutator of groups with respect to the subvarieties of -nilpotent groups and of -solvable groups. In particular these formulas give a characterization of the extensions of groups that are central relatively to these subvarieties.
B. AMBERG, S. Franciosi, F. Giovanni (1995)
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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...