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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Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Adolfo Ballester-Bolinches, James C. Beidleman, John Cossey, Hermann Heineken, María Carmen Pedraza-Aguilera (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Artemovych, O. (2002)
Serdica Mathematical Journal
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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
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...
Fernando Tuccillo (1991)
Collectanea Mathematica
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We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.
Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Patrizia Longobardi, Mercede Maj, Avinoam Mann, Akbar Rhemtulla (1996)
Rendiconti del Seminario Matematico della Università di Padova
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M. J. Iranzo, A. Martínez-Pastor, F. Pérez-Monasor (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Pavel Shumyatsky (2000)
Rendiconti del Seminario Matematico della Università di Padova
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