On certain characterizations of barely transitive groups

Ahmet Arikan; Nadir Trabelsi

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 123, page 203-210
  • ISSN: 0041-8994

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Arikan, Ahmet, and Trabelsi, Nadir. "On certain characterizations of barely transitive groups." Rendiconti del Seminario Matematico della Università di Padova 123 (2010): 203-210. <http://eudml.org/doc/242793>.

@article{Arikan2010,
author = {Arikan, Ahmet, Trabelsi, Nadir},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {barely transitive groups; subgroups of infinite index; locally finite groups; point stabilizers; Hirsch-Plotkin radical; locally nilpotent normal subgroups; perfect groups; FC-groups; periodic groups},
language = {eng},
pages = {203-210},
publisher = {Seminario Matematico of the University of Padua},
title = {On certain characterizations of barely transitive groups},
url = {http://eudml.org/doc/242793},
volume = {123},
year = {2010},
}

TY - JOUR
AU - Arikan, Ahmet
AU - Trabelsi, Nadir
TI - On certain characterizations of barely transitive groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 123
SP - 203
EP - 210
LA - eng
KW - barely transitive groups; subgroups of infinite index; locally finite groups; point stabilizers; Hirsch-Plotkin radical; locally nilpotent normal subgroups; perfect groups; FC-groups; periodic groups
UR - http://eudml.org/doc/242793
ER -

References

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  1. [1] A. Arikan, On barely transitive p groups with soluble point stabilizer, J. Group Theory, 5, No. 4 (2002), pp. 441--442. Zbl1015.20002MR1931368
  2. [2] A. Arikan, On locally graded non-periodic barely transitive groups , Rend. Semin. Mat. Univ. Padova, 117 (2007), pp. 141--146. Zbl1166.20001MR2351790
  3. [3] V. V. Belyaev, Groups of the Miller-Moreno type, (Russian) Sibirsk. Mat. Z., 19, no. 3 (1978), pp. 509--514. Zbl0394.20025MR577067
  4. [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. Zbl0831.20033MR1248784
  5. [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. Zbl1033.20001MR2000842
  6. [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. Zbl1083.20034MR2139095
  7. [7] B. Hartley, On the normalizer condition and barely transitive permutation groups, Algebra and Logic, 13 (1974), pp. 334--340. Zbl0319.20052MR393243
  8. [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. Zbl0904.20031MR1475911
  9. [9] O. H. Kegel - B. A. F. Wehrfritz, Locally Finite Groups, North-Holland Math. Library, vol. 3, North-Holland, Amsterdam, 1973. Zbl0259.20001MR470081
  10. [10] M. Kuzucuoǧlu - R. E. Phillips, Locally finite minimal non-FC-groups. Math. Proc. Cambridge Philos. Soc., 105, no. 3 (1989), pp. 417--420. Zbl0686.20034MR985676
  11. [11] M. Kuzucuoǧlu, Barely transitive permutation groups, Arch. Math., 55 (1990), pp. 521--530. Zbl0694.20004MR1078272
  12. [12] M. Kuzucuoǧlu, On torsion free barely transitive groups, Turkish J. Math., 24 (2000), pp. 273--276. Zbl0984.20001MR1797525
  13. [13] M. Kuzucuoǧlu, Barely transitive groups, Turkish J. Math., 31 (2007), Suppl. pp. 79--94. Zbl1139.20034MR2368084
  14. [14] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Vols. 1 and 2, ( Springer -Verlag 1972). Zbl0243.20033
  15. [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. Zbl0956.20018MR1762195

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