Fitting height of -nilpotent groups
Pavel Shumyatsky (2000)
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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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...
Ahmet Arıkan, Sezgin Sezer, Howard Smith (2010)
Open Mathematics
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In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
E. Damian (2003)
Bollettino dell'Unione Matematica Italiana
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We study the generation of finite groups by nilpotent subgroups and in particular we investigate the structure of groups which cannot be generated by nilpotent subgroups and such that every proper quotient can be generated by nilpotent subgroups. We obtain some results about the structure of these groups and a lower bound for their orders.
Bakić, Radoš (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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M. J. Iranzo, M. Torres (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Srinivasan, S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Cliff David, James Wiegold (2006)
Rendiconti del Seminario Matematico della Università di Padova
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James Beidleman, Mathew Ragland (2011)
Open Mathematics
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The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is...