A note on systems of ideals
Markku Niemenmaa (1982)
Archivum Mathematicum
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Displaying similar documents to “Normal subgroups as ideals”
A note on systems of ideals
Subgroups and normal subgroups as systems of ideals
František Voráč (1980)
Archivum Mathematicum
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Artinian and noetherian factorized groups
Bernhard Amberg (1976)
Rendiconti del Seminario Matematico della Università di Padova
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Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups
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.
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,...