DESCRIPTION OF BARELY TRANSITIVE GROUPS WITH SOLUBLE POINT STABILIZER

Betin C., KUZUCUOĞLU M.

COMMUNICATIONS IN ALGEBRA, cilt.37, sa.6, ss.1901-1907, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 6
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/00927870802210076
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1901-1907
  • Anahtar Kelimeler: Locally finite groups, Permutable subgroup, Quasi finite groups, INFINITE GROUPS, SUBGROUPS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.