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 the structure of groups whose non-abelian subgroups are subnormal”
Artinian and noetherian factorized groups
On non-periodic groups whose finitely generated subgroups are either permutable or pronormal
L. A. Kurdachenko, I. Ya. Subbotin, T. I. Ermolkevich (2013)
Mathematica Bohemica
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The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group is called a generalized radical, if has an ascending series whose factors are locally nilpotent or locally finite. The class of locally generalized radical groups is quite wide. For instance, it includes all locally finite, locally soluble, and almost locally soluble groups. The main result of this paper is the followingTheorem. Let be a locally generalized...
The classification of groups in which every product of four elements can be reordered
Patrizia Longobardi, Mercede Maj, Stewart Stonehewer (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Groups which are isomorphic to their nonabelian subgroups
Howard Smith, James Wiegold (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Soluble products of two locally finite groups with min- for every prime
Bernhard Amberg (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Groups with small deviation for non-subnormal subgroups
Leonid Kurdachenko, Howard Smith (2009)
Open Mathematics
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We introduce the notion of the non-subnormal deviation of a group G. If the deviation is 0 then G satisfies the minimal condition for nonsubnormal subgroups, while if the deviation is at most 1 then G satisfies the so-called weak minimal condition for such subgroups (though the converse does not hold). Here we present some results on groups G that are either soluble or locally nilpotent and that have deviation at most 1. For example, a torsion-free locally nilpotent with deviation at...
Groups whose all subgroups are ascendant or self-normalizing
Leonid Kurdachenko, Javier Otal, Alessio Russo, Giovanni Vincenzi (2011)
Open Mathematics
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This paper studies groups G whose all subgroups are either ascendant or self-normalizing. We characterize the structure of such G in case they are locally finite. If G is a hyperabelian group and has the property, we show that every subgroup of G is in fact ascendant provided G is locally nilpotent or non-periodic. We also restrict our study replacing ascendant subgroups by permutable subgroups, which of course are ascendant [Stonehewer S.E., Permutable subgroups of infinite groups,...
The determination of abelian Hall subgroups by a conjugacy class structure.
Wolfgang Kimmerle, Robert Sandling (1992)
Publicacions Matemàtiques
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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.