On Torsion-Free Barely Transitive Groups
B. Hartley asked the following question: Does there exist a torsion free barely transitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter question negatively in a special case. Moreover we proved the following: Let G be a simple barely transitive group, and H be a stabilizer of a point. If for a non-identity element x \in G, CG (x) is infinite then, CG (x) cannot contain H.
Anahtar Kelimeler:
Barely transitive, commensurable.
On Torsion-Free Barely Transitive Groups
B. Hartley asked the following question: Does there exist a torsion free barely transitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter question negatively in a special case. Moreover we proved the following: Let G be a simple barely transitive group, and H be a stabilizer of a point. If for a non-identity element x \in G, CG (x) is infinite then, CG (x) cannot contain H.
Keywords:
Barely transitive, commensurable.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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