Centralizers of semisimple subgroups in locally finite simple groups

M. Kuzucuoğlu

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 92, page 79-90
  • ISSN: 0041-8994

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Kuzucuoğlu, M.. "Centralizers of semisimple subgroups in locally finite simple groups." Rendiconti del Seminario Matematico della Università di Padova 92 (1994): 79-90. <http://eudml.org/doc/108346>.

@article{Kuzucuoğlu1994,
author = {Kuzucuoğlu, M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {locally finite simple groups; linear LFS-groups; infinite nonlinear LFS-groups; finite subgroups; -semisimple subgroups; Kegel sequences; Abelian subgroups; nice groups; Kegel components; centralizers; -nice Abelian subgroups; simple subgroups},
language = {eng},
pages = {79-90},
publisher = {Seminario Matematico of the University of Padua},
title = {Centralizers of semisimple subgroups in locally finite simple groups},
url = {http://eudml.org/doc/108346},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Kuzucuoğlu, M.
TI - Centralizers of semisimple subgroups in locally finite simple groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 92
SP - 79
EP - 90
LA - eng
KW - locally finite simple groups; linear LFS-groups; infinite nonlinear LFS-groups; finite subgroups; -semisimple subgroups; Kegel sequences; Abelian subgroups; nice groups; Kegel components; centralizers; -nice Abelian subgroups; simple subgroups
UR - http://eudml.org/doc/108346
ER -

References

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  2. [2] A.V. Borovik, Embeddings of finite Chevalley groups and periodic linear groups, Sibirsky. Mat. Zh., 24 (1983), pp. 26-35. Zbl0551.20026MR731040
  3. [3] R.W. Carter, Simple Groups of Lie Type, John Wiley, London (1972). Zbl0248.20015MR407163
  4. [4] R.W. Carter, Finite Groups of Lie Type, John Wiley and Sons (1985). Zbl0567.20023MR794307
  5. [5] B. Hartley, Centralizing properties in simple locally finite groups and large finite classical groups, J. Austral. Math. Soc. Series A, 49 (1990), pp. 502-513. Zbl0728.20034MR1074516
  6. [6] B. Hartley - G. Shute, Monomorphisms and direct limits of finite groups of Lie type, Quart. J. Math. Oxford (2) 35 (1984), pp. 49-71. Zbl0547.20024MR734665
  7. [7] B. Hartley - M. Kuzucuoglu, Centralizers of elements in locally finite simple groups, Proc. London Math. Soc. (3) (62) (1991), pp. 301-324. Zbl0682.20020MR1085643
  8. [8] O.H. Kegel - B. Wehrfritz, Locally Finite Groups, North-Holland, Amsterdam (1973). Zbl0259.20001MR470081
  9. [9] M Kuzucuoğlu, Barely transitive permutation groups, ThesisUniversity of Manchester (1988). Zbl0694.20004
  10. [10] T.A. Springer - R. Steinberg, Conjugacy Classes in Seminar on Algebraic Groups and Related Finite Groups, Lecture Notes in Math., Vol. 131, Springer-Verlag, Berlin, Heidelberg, New York (1970). Zbl0249.20024MR268192
  11. [11] T.A. Steinberg, Endomorphism of Algebraic Groups, Mem. Amer. Math. Soc., No 80 (American Math. Soc., Providence, R.I., 1968). Zbl0164.02902
  12. [12] S. Thomas, The classification of the simple periodic linear groups, Arch. Math., 41 (1983) pp. 103-116. Zbl0518.20039MR719412

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