(Enter summary)
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):
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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
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Locally Solvable Finitary Linear Groups (context) - Meierfrankenfeld, Phillips et al. - 1993
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finitary linear groups (context) - Phillips, locally
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Cambridge Unversity Press (context) - Aschbacher, Theory - 1986
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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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