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On minimal Fitting classes of periodic, infinite groups

  • Brendan McCann (a1)


Examples of Fitting classes generated by certain periodic infinite groups are presented in this paper. The groups in question are finite extensions of direct products of quasi-cyclic (Prüfer) groups and are, in particular, Černikov groups. The methods applied follow closely those used for constructing Fitting classes of finite groups, especially in the case of nilpotent length three.



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[10]Menegazzo, F. and Newell, M. L., ‘Injectors in Fitting Classes of -groups’, to appear.
[11]Robinson, D. J. S., A course in the theory of groups (Springer, Berlin, 1982).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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