On locally graded non-periodic barely transitive groups

Aynur Arikan

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 117, page 141-146
  • ISSN: 0041-8994

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Arikan, Aynur. "On locally graded non-periodic barely transitive groups." Rendiconti del Seminario Matematico della Università di Padova 117 (2007): 141-146. <http://eudml.org/doc/108706>.

@article{Arikan2007,
author = {Arikan, Aynur},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinite permutation groups; locally graded barely transitive groups; point stabilizers; Hirsch-Plotkin radical; periodic radical},
language = {eng},
pages = {141-146},
publisher = {Seminario Matematico of the University of Padua},
title = {On locally graded non-periodic barely transitive groups},
url = {http://eudml.org/doc/108706},
volume = {117},
year = {2007},
}

TY - JOUR
AU - Arikan, Aynur
TI - On locally graded non-periodic barely transitive groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 117
SP - 141
EP - 146
LA - eng
KW - infinite permutation groups; locally graded barely transitive groups; point stabilizers; Hirsch-Plotkin radical; periodic radical
UR - http://eudml.org/doc/108706
ER -

References

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  1. [1] A. ARIKAN, On barely transitive p-groups with soluble point stabilizer. J. Group Theory, 5 (2002), pp. 441-442. Zbl1015.20002MR1931368
  2. [2] A.O. ASAR, Locally nilpotent p-groups whose proper subgroups are hypercentral or nilpotent-by-CÏernikov. J. London Math. Soc., 61 (2000), pp. 412-422. Zbl0961.20031MR1756802
  3. [3] A. O. ASAR, Corrigendum: ``Barely transitive locally nilpotent p-groups''. J. London Math. Soc., 61 (2000), pp. 315-318. Zbl0897.20028MR1745385
  4. [4] A.O. ASAR, Barely transitive locally nilpotent p-groups. J. London Math. Soc., 55 (1997), pp. 357-362. Zbl0897.20028MR1438639
  5. [5] V.V. BELYAEV - M. KUZUCUOǦLU, Barely transitive groups with soluble point stabilizer. Preprint. No: 211, Middle East Technical University, Mathematics Department (2001). 
  6. [6] 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
  7. [7] V.V. BELYAEV, Inert subgroups in infinite simple groups (Russian). Sibirsk. Math. Zh. 34 (1993), 17-23; translation in Siberian Math., J. 34 (1993), pp. 606-611. Zbl0831.20033MR1248784
  8. [8] V.V. BELYAEV, Locally finite groups with Chernikov Sylow p-subgroups (Russian), Algebra i Logika, 20 (1981), 605-619; translation in Algebra and Logic, 20 (1981), pp. 393-402. Zbl0489.20032MR675120
  9. [9] 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
  10. [10] B. HARTLEY, On the normalizer condition and Barely Transitive Permutation Groups. Algebra and Logic, 13 (1974), pp. 334-340. Zbl0319.20052MR393243
  11. [11] M. KUZUCUOǦLU, On torsion-free barely transitive permutation groups. Turk. J. Math., 24 (2000), pp. 273-276. Zbl0984.20001MR1797525
  12. [12] M. KUZUCUOǦLU, Barely transitive permutation groups, Arch. Math., 55 (1990), pp. 521-530. Zbl0694.20004MR1078272
  13. [13] F. NAPOLITANI - E. PEGORARO, On groups with nilpotent by CÏernikov proper subgroups, Arch. Math., 69 (1997), pp. 89-94. Zbl0897.20021MR1458694
  14. [14] D.J.S. ROBINSON, Finiteness Conditions and Generalized Soluble Groups, Vols. 1 and 2, ( Springer -Verlag 1972). Zbl0243.20033
  15. [15] D.J.S. ROBINSON, A course in the theory of groups. (Springer-Verlag, Heidelberg-Berlin-Newyork 1982). Zbl0483.20001MR648604

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