Zentralisatoren von p -Elementen in lokal endlichen Gruppen

Volker Turau

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 75, page 227-234
  • ISSN: 0041-8994

How to cite

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Turau, Volker. "Zentralisatoren von $p$-Elementen in lokal endlichen Gruppen." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 227-234. <http://eudml.org/doc/108022>.

@article{Turau1986,
author = {Turau, Volker},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {locally finite groups; locally-soluble with minimum condition on 2- subgroups; Hirsch-Plotkin radical; Chernikov group; locally finite- soluble groups; minimum condition on p-subgroups; Chevalley group; centralizers},
language = {ger},
pages = {227-234},
publisher = {Seminario Matematico of the University of Padua},
title = {Zentralisatoren von $p$-Elementen in lokal endlichen Gruppen},
url = {http://eudml.org/doc/108022},
volume = {75},
year = {1986},
}

TY - JOUR
AU - Turau, Volker
TI - Zentralisatoren von $p$-Elementen in lokal endlichen Gruppen
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 227
EP - 234
LA - ger
KW - locally finite groups; locally-soluble with minimum condition on 2- subgroups; Hirsch-Plotkin radical; Chernikov group; locally finite- soluble groups; minimum condition on p-subgroups; Chevalley group; centralizers
UR - http://eudml.org/doc/108022
ER -

References

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  1. [1] A.O. Asar, The solution of a problem of Kegel and Wehrfritz, Proc. London Math. Soc., (3) 45 (1982), pp. 337-364. Zbl0498.20027MR670041
  2. [2] V.V. Belyaev, Locally finite groups with Chernikov Sylow-p-subgroups, Algebra Logika, 20 (1981), pp. 605-619. Zbl0489.20032MR675120
  3. [3] B. Hartley - T. Meixner, Finite soluble groups in which the centralizer of an element of prime order is restricted, Arch. Math., 36 (1981), pp. 211-213. Zbl0447.20014MR620509
  4. [4] B. Hartley, Periodic locally soluble groups containing an element of prime order with Černikov centralizer, Quarterly J. Math. Oxford, (2) 33 (1982), pp. 309-323. Zbl0495.20011MR668177
  5. [5] B. Hartley - G. Shute, Monomorphisms and direct limits of finite groups of Lie type, Quarterly J. Math. Oxford, (2) 35 (1984), pp. 49-71. Zbl0547.20024MR734665
  6. [6] G. Higman, Groups and rings having automorphisms without non-trivial fixed-elements, J. London Math. Soc., 32 (1957), pp. 321-334. Zbl0079.03203MR89204
  7. [7] B. Huppert, Endliche Gruppen I, Berlin, Heidelberg, New York, 1967. Zbl0217.07201MR224703
  8. [8] O.H. Kegel, The structure o f locally finite groups with min p, C. R. Math. Rep. Acad. Sci. Canada, Vol. IV, 6 (1982), pp. 383-385. Zbl0506.20015MR681198
  9. [9] O.H. Kegel - B.A.F. Wehrfritz, Locally finite groups, Amsterdam, London, 1973. Zbl0259.20001MR470081
  10. [10] V. Turau, Zentralisatoren in lokal endlichen Gruppen vom Chevalley-Typ., Arch. Math., 44 (1985), pp. 297-308. Zbl0544.20030MR788941

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