Some trends in the theory of groups with finitely many normalizers

Some trends in the theory of groups with finitely many normalizers

This paper provides an account of results and methods from the theory of infinite groups admitting only finitely many normalizers of subgroups with a given property. Some new statements on this subject are also proved.

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Veröffentlicht in:Ricerche di matematica 2020-06, Vol.69 (1), p.357-365
Hauptverfasser: Esposito, Dario, de Giovanni, Francesco, Trombetti, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
Subgroups
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Beschreibung
Zusammenfassung:This paper provides an account of results and methods from the theory of infinite groups admitting only finitely many normalizers of subgroups with a given property. Some new statements on this subject are also proved.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-019-00466-8