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On the generalized Fitting group of locally finite, finitary groups (1996)  (Make Corrections)  
U. Meierfrankenfeld



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Abstract: Let G be a locally finite, finitary group and F (G) the group generated by the Hirsch-Plotkin radical of G and the components of G. Our main theorem asserts that CG (F (G)) F (G). 1 Introduction The main purpose of this paper is to extend the concept of the generalized Fitting group from finite groups to locally finite, finitary groups. Recall that a group G is called locally finite if every finite subset of G lies in a finite subgroup. G is called finitary if there exist a field K... (Update)

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BibTeX entry:   (Update)

@misc{ meierfrankenfeld-generalized,
  author = "U. Meierfrankenfeld",
  title = "On the generalized Fitting group of locally finite, finitary groups",
  url = "citeseer.ist.psu.edu/meierfrankenfeld96generalized.html" }
Citations (may not include all citations):
21   Finite Groups (context) - Gorenstein - 1980
5   Locally Finite Groups (context) - Kegel, Wehrfritz - 1973
3   Locally finite simple groups of finitary linear transformati.. (context) - Hall - 1995
2   Locally Solvable Finitary Linear Groups (context) - Meierfrankenfeld, Phillips et al. - 1993
2   finitary linear groups (context) - Phillips, locally
1   Cambridge Unversity Press (context) - Aschbacher, Theory - 1986
1   Semisimple periodic groups of finitary transformations (context) - Belyaev - 1983
1   Department of Mathematics Michigan State University East Lan.. (context) - Robinson, Conditions et al. - 1972

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