(Cyclic) subgroup separability of HNN and split extensions

(Cyclic) subgroup separability of HNN and split extensions

This work has been divided in two parts. In the first part we give a sufficient conditions on an HNN extension of a free group to be cyclic subgroup seperable. In the second part we define just subgroup separability on a split extension of special groups which is actually on holomorph.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematica Slovaca 2007-02, Vol.57 (1), p.33-40
Hauptverfasser: Ateş, Firat, Sinan Çevik, A.
Format: Artikel
Sprache:eng
Schlagworte:
20E05
20E06
20E22
20E26
20F10
HNN and split extensions
residually finite
separability
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Beschreibung
Zusammenfassung:This work has been divided in two parts. In the first part we give a sufficient conditions on an HNN extension of a free group to be cyclic subgroup seperable. In the second part we define just subgroup separability on a split extension of special groups which is actually on holomorph.
ISSN:0139-9918
1337-2211
DOI:10.2478/s12175-007-0012-9