On certain characterizations of barely transitive groups
Arikan, Ahmet ; Trabelsi, Nadir
Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010), p. 203-210 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2010-01-01
@article{RSMUP_2010__123__203_0,
     author = {Arikan, Ahmet and Trabelsi, Nadir},
     title = {On certain characterizations of barely transitive groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {124},
     year = {2010},
     pages = {203-210},
     mrnumber = {2683298},
     zbl = {1202.20002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2010__123__203_0}
}

Arikan, Ahmet; Trabelsi, Nadir. On certain characterizations of barely transitive groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 124 (2010) pp. 203-210. http://gdmltest.u-ga.fr/item/RSMUP_2010__123__203_0/

[1] A. Arikan, On barely transitive p groups with soluble point stabilizer, J. Group Theory, 5, No. 4 (2002), pp. 441--442. | MR 1931368 | Zbl 1015.20002

[2] A. Arikan, On locally graded non-periodic barely transitive groups , Rend. Semin. Mat. Univ. Padova, 117 (2007), pp. 141--146. | Numdam | MR 2351790 | Zbl 1166.20001

[3] V. V. Belyaev, Groups of the Miller-Moreno type, (Russian) Sibirsk. Mat. Z., 19, no. 3 (1978), pp. 509--514. | MR 577067 | Zbl 0394.20025

[4] V. V. Belyaev, Inert subgroups in infinite simple groups (Russian). Sibirsk. Math. Zh., 34 (1993), pp. 17--23; translation in Siberian Math. J., 34 (1993), pp. 606--611. | MR 1248784 | Zbl 0831.20033

[5] V. V. Belyaev - M. Kuzucuoǧlu, Locally finite barely transitive groups (Russian), Algebra i Logika, 42 (2003), pp. 261--270; translation in Algebra and Logic, 42 (2003), pp. 147--152. | MR 2000842 | Zbl 1033.20001

[6] M. R. Dixon - M. J. Evans - H. Smith, Groups with all proper subgroups soluble-by-finite rank, J. Algebra, 289 (2005), pp. 135--147. | MR 2139095 | Zbl 1083.20034

[7] B. Hartley, On the normalizer condition and barely transitive permutation groups, Algebra and Logic, 13 (1974), pp. 334--340. | MR 393243 | Zbl 0319.20052

[8] B. Hartley - M. Kuzucuoǧlu, Non-simplicity of locally finite barely transitive groups, Proc. Edin. Math. Soc., II. Ser., 40, No. 3 (1997), pp. 483--490. | MR 1475911 | Zbl 0904.20031

[9] O. H. Kegel - B. A. F. Wehrfritz, Locally Finite Groups, North-Holland Math. Library, vol. 3, North-Holland, Amsterdam, 1973. | MR 470081 | Zbl 0259.20001

[10] M. Kuzucuoǧlu - R. E. Phillips, Locally finite minimal non-FC-groups. Math. Proc. Cambridge Philos. Soc., 105, no. 3 (1989), pp. 417--420. | MR 985676 | Zbl 0686.20034

[11] M. Kuzucuoǧlu, Barely transitive permutation groups, Arch. Math., 55 (1990), pp. 521--530. | MR 1078272 | Zbl 0694.20004

[12] M. Kuzucuoǧlu, On torsion free barely transitive groups, Turkish J. Math., 24 (2000), pp. 273--276. | MR 1797525 | Zbl 0984.20001

[13] M. Kuzucuoǧlu, Barely transitive groups, Turkish J. Math., 31 (2007), Suppl. pp. 79--94. | MR 2368084 | Zbl 1139.20034

[14] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Vols. 1 and 2, ( Springer -Verlag 1972). | Zbl 0243.20033

[15] A. I. Sozutov, Residually finite groups with nontrivial intersections of pairs of subgroups, Sibirsk. Mat. Zh., 41, no. 2 (2000), pp. 437--441, iv; translation in Siberian Math. J., 41, no. 2 (2000), pp. 362--365. | MR 1762195 | Zbl 0956.20018