Locally finite barely transitive groups

Algebra and Logic

Volumn 42, Issue 3, 2003, Pages 147-152

  Belyaev, V V ^a   Kuzucuoglu, M ^b  

^a SIBERIAN FEDERAL UNIVERSITY   (Russian Federation)

^b MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Barely transitive group; Locally finite group; P group; Point stabilizer; Transitive finitary permutation representation

Indexed keywords

EID: 33750724908     PISSN: 00025232     EISSN: 15738302     Source Type: Journal    
DOI: 10.1023/A:1023946008218     Document Type: Article

References (8)

1. B. Hartley, "The normalizer condition and mini-transitive permutation groups," Algebra Logika, 13, No. 5, 539-602 (1974).
2. V. V. Belyaev and M. Kuzucuoglu, "Barely transitive and Heineken-Mohamed groups," J. London Math. Soc., II. Ser., 55, No. 2(176), 261-263 (1997).
3. V. V. Belyaev, "The existence problem for minimal non-FC-groups," Sib. Math. Zh., 39, No. 6, 1267-1270 (1998).
4. F. A. Leinen, "Reduction theorem for perfect locally finite minimal non-FC-groups," Glasg. Math. J., 41, No. 1, 81-83 (1999).
5. A. O. Azar, "Barely transitive locally nilpotent p-groups," J. London Math. Soc., II. Ser., 55, No. 2(176), 357-362 (1997).
6. B. Hartley and M. Kuzucuoglu, "Non-simplicity of locally finite barely transitive groups," Proc. Edinb. Math. Soc., II. Ser., 40, No. 3, 483-490 (1997).
7. M. Kuzucuoglu, "Barely transitive permutation groups," Arch. Math., 55, No. 6, 521-532 (1990).
8. V. V. Belyaev, "Inert subgroups in infinite simple groups," Sib. Mat. Zh., 34, No. 4, 17-23 (1993).