Description of Barely Transitive Groups with Soluble Point Stabilizer

Date

2009-6-4

Author

Betin, Cansu
Kuzucuoğlu, Mahmut

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We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article [6] Hartley asked whether there is a torsionfree barely transitive group. One consequence of our results is that there is no torsionfree barely transitive group whose point stabilizer is nilpotent. Moreover, we show that if the stabilizer of a point is a permutable subgroup of an infinitely generated barely transitive group G, then G is locally finite.

Subject Keywords

Locally finite groups, Permutable subgroup, Quasi finite groups

URI

https://hdl.handle.net/11511/28585

Journal

Communications in Algebra

DOI

https://doi.org/10.1080/00927870802210076

Collections

Department of Mathematics, Article

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Citation Formats

C. Betin and M. Kuzucuoğlu, “Description of Barely Transitive Groups with Soluble Point Stabilizer,” Communications in Algebra, pp. 1901–1907, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28585.