Examples of highly transitive permutation groups

Otto H. Kegel

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 63, page 295-300
  • ISSN: 0041-8994

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Kegel, Otto H.. "Examples of highly transitive permutation groups." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 295-300. <http://eudml.org/doc/107775>.

@article{Kegel1980,
author = {Kegel, Otto H.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finitely generated subactions; locally finite permutation group; highly transitive permutation group; skeleton; countable homogeneous permutation group; universal locally finite group},
language = {eng},
pages = {295-300},
publisher = {Seminario Matematico of the University of Padua},
title = {Examples of highly transitive permutation groups},
url = {http://eudml.org/doc/107775},
volume = {63},
year = {1980},
}

TY - JOUR
AU - Kegel, Otto H.
TI - Examples of highly transitive permutation groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 63
SP - 295
EP - 300
LA - eng
KW - finitely generated subactions; locally finite permutation group; highly transitive permutation group; skeleton; countable homogeneous permutation group; universal locally finite group
UR - http://eudml.org/doc/107775
ER -

References

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  1. [1] P. Hall, Some constructions for locally finite groups, J. London Math. Soc., 34 (1959), pp. 305-319. Zbl0088.02301MR162845
  2. [2] J. Hirschfeld and W.H. Wheeler, Forcing, Arithmetic, and Division Rings, Lecture Notes in Mathematics, vol. 454, 1975Springer, Berlin. Zbl0304.02024MR389581
  3. [3] O.H. Kegel and B.A.F. Wehrfritz, Locally finite groups, North-Holland, 1973Amsterdam. Zbl0259.20001MR470081
  4. [4] A. Mac Intyre and S. Shelah, Universal locally finite groups, J. Algebra, 43 (1976), pp. 168-175. Zbl0363.20032MR439625
  5. [5] T.P. M, A permutation representation of a free group, Quart. J. Math. Oxford (2), 28 (1977), pp. 353-356. Zbl0358.20041MR453869
  6. [6] D.S. Passman, The algebraic structure of group rings, John Wiley & Sons, New York1977. Zbl0368.16003MR470211
  7. [7] S. Shelah and M. Ziegler: Algebraically closed groups of large cardinality, TheJ. Symbolic Logic, 44 (1979), pp. 522-532. Zbl0427.03025MR550381

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