6-BFC groups
Cliff David, James Wiegold (2006)
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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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...
Carlo Casolo, Silvio Dolfi (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Ballester-Bolinches, A., Beidleman, J.C., Heineken, H., Pedraza-Aguilera, M.C. (2010)
Documenta Mathematica
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James Beidleman, Hermann Heineken, Jack Schmidt (2013)
Open Mathematics
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A finite solvable group G is called an X-group if the subnormal subgroups of G permute with all the system normalizers of G. It is our purpose here to determine some of the properties of X-groups. Subgroups and quotient groups of X-groups are X-groups. Let M and N be normal subgroups of a group G of relatively prime order. If G/M and G/N are X-groups, then G is also an X-group. Let the nilpotent residual L of G be abelian. Then G is an X-group if and only if G acts by conjugation on...
A. Arikan, T. Özen (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Carlo Casolo (1988)
Rendiconti del Seminario Matematico della Università di Padova
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M. J. Iranzo, M. Torres (1989)
Rendiconti del Seminario Matematico della Università di Padova
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