Artinian and noetherian factorized groups
Bernhard Amberg (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “On a class of finite solvable groups”
Artinian and noetherian factorized groups
On finite soluble groups verifying an extremal condition on subgroups.
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'.
6-BFC groups
Cliff David, James Wiegold (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Generation of finite groups by nilpotent subgroups
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.
Subnormal, permutable, and embedded subgroups in finite groups
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...
Subgroups of finite index in generalized -groups
Carlo Casolo (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Note on the -nilpotency in finite groups.
Bakić, Radoš (2004)
Novi Sad Journal of Mathematics
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The -injectors of a finite group
M. J. Iranzo, M. Torres (1989)
Rendiconti del Seminario Matematico della Università di Padova
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OnCSQ-normal subgroups of finite groups
Yong Xu, Xianhua Li (2016)
Open Mathematics
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We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups. As an application of our results, some recent results are generalized.