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Schunck classes and projectors in a class of locally finite groups

  • M. J. Tomkinson (a1)

Abstract

We introduce a definition of a Schunck class of periodic abelian-by-finite soluble groups using major subgroups in place of the maximal subgroups used in Finite groups. This allows us to develop the theory as in the finite case proving the existence and conjugacy of projectors. Saturated formations are examples of Schunck classes and we are also able to obtain an infinite version of Gaschütz Ω-subgroups.

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References

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1.Doerk, K. and Hawkes, T. O., Finite soluble groups (de Gruyter, 1992).
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4.Gaschotz, W., Lectures on subgroups of Sylow type in finite soluble groups (Australian National University, 1979).
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10.Tomkinson, M. J., Major subgroups of nilpotent-by-finite groups, Ukrain. Mat. Zh. 44 (1992), 853856.

Schunck classes and projectors in a class of locally finite groups

  • M. J. Tomkinson (a1)

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