Geodesic
Locally Finite Barely Transitive Groups
Algebra i logika, Tome 42 (2003) no. 3, pp. 261-270.

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Infinite transitive permutation groups all proper subgroups of which have just finite orbits are treated. Under the extra condition of being locally finite, such groups are proved to be primary, and, moreover, soluble if the stabilizer of some point is soluble.
Mots-clés : $p$-group
Keywords: locally finite group, barely transitive group, point stabilizer, transitive finitary permutation representation. 
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V. V. Belyaev; M. Kuzucuoglu. Locally Finite Barely Transitive Groups. Algebra i logika, Tome 42 (2003) no. 3, pp. 261-270. http://geodesic.mathdoc.fr/item/AL_2003_42_3_a0/

[1] B. Khartli, “O normalizatornom uslovii i mini-tranzitivnykh gruppakh podstanovok”, Algebra i logika, 13:5 (1974), 539–602

[2] V. V. Belyaev, M. Kuzucuoglu, “Barely transitive and Heineken-Mohamed groups”, J. Lond. Math. Soc., II. Ser., 55:2(176) (1997), 261–263 | DOI | MR | Zbl

[3] V. V. Belyaev, “K voprosu o suschestvovanii minimalnykh ne $FC$-grupp”, Sib. matem. zh., 39:6 (1998), 1267–1270 | MR | Zbl

[4] F. A. Leinen, “Reduction theorem for perfect locally finite minimal non-$FC$- groups”, Glasg. Math. J., 41:1 (1999), 81–83 | DOI | MR | Zbl

[5] A. O. Azar, “Barely transitive locally nilpotent $p$-groups”, J. Lond. Math. Soc., II. Ser., 55:2(176) (1997), 357–362 | DOI | MR

[6] B. Hartley, M. Kuzucuoglu, “Non-simplicity of locally finite barely transitive groups”, Proc. Edinb. Math. Soc., II. Ser., 40:3 (1997), 483–490 | DOI | MR | Zbl

[7] M. Kuzucuoglu, “Barely transitive permutation groups”, Arch. Math., 55:6 (1990), 521–532 | DOI | MR | Zbl

[8] V. V. Belyaev, “Inertnye podgruppy v beskonechnykh prostykh gruppakh”, Sib. matem. zh., 34:4 (1993), 17–23 | MR | Zbl