On absolutely simple locally finite groups

Richard E. Phillips

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 213-220
  • ISSN: 0041-8994

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Phillips, Richard E.. "On absolutely simple locally finite groups." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 213-220. <http://eudml.org/doc/108097>.

@article{Phillips1988,
author = {Phillips, Richard E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {absolutely simple groups; countably infinite locally finite simple groups},
language = {eng},
pages = {213-220},
publisher = {Seminario Matematico of the University of Padua},
title = {On absolutely simple locally finite groups},
url = {http://eudml.org/doc/108097},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Phillips, Richard E.
TI - On absolutely simple locally finite groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 213
EP - 220
LA - eng
KW - absolutely simple groups; countably infinite locally finite simple groups
UR - http://eudml.org/doc/108097
ER -

References

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  1. [1] S. Chehata, An algebraically simple ordered group, Proc. London Math. Soc., (3) 2 (1952), pp. 183-197. Zbl0046.02501MR47031
  2. [2] B. Hartley, Serial subgroups of locally finite groups, Proc. Cambridge Philos. Soc., 71 (1972), pp. 199-201. Zbl0231.20011MR291300
  3. [3] K. Hickin, Countable type local theorems in algebra, J. of Algebra, 27 (1973), pp. 523-537. Zbl0275.08005MR340424
  4. [4] K. Hickin - R.E. Phillips, On classes of groups defined by systems of subgroups, Arch. der Math., 24 (1973), pp. 346-350. Zbl0275.20070MR335648
  5. [5] O. Kegel, Über einfache, lokal endliche Gruppen, Math. Z., 95 (1967), pp. 169-195. Zbl0147.27002MR204527
  6. [6] O. Kegel - B. A. F. WEHRFRITZ, Locally Finite Groups, North Holland, London (1973). Zbl0259.20001MR470081
  7. [7] R.D. Kopperman - A.R.D. Mathias, Some problems in group theory, « The Syntax and Semantics of Infinitary Languages », Lecture Notes in Math., 72, Springer-Verlag, New York (1968). Zbl0182.32601MR234827
  8. [8] A.G. Kurosh, The Theory of Groups, Vol. II, Chelsea, New York (1956). Zbl0064.25104MR80089
  9. [9] R.E. Phillips, Countably recognizable classes of groups, Rocky Mt. J. of Math., 1 (1971), pp. 489-497. Zbl0229.20029MR280579
  10. [10] R.E. Phillips, Existentially closed locally finite central extensions; multipliers and local systems, Math. Z., 487 (1984), pp. 383-392. Zbl0551.20021MR757478
  11. [11] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Vol. I and II, Springer-Verlag, New York (1972). Zbl0243.20033

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