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On frattini-like subgroups

Published online by Cambridge University Press:  18 May 2009

James C. Beidleman
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, KY 40506, U.S.A.
Howard Smith
Affiliation:
Department of Mathematics, Bucknell University, Lewisburg, PA 17837, U.S.A.
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Theorem 3 of the paper, published in the Glasgow Mathematical Journal 35 (1993), 95–98, is stated incorrectly.

The subgroup G′ ∩ L(G) is nilpotent but not, in general, finitely generated (a suitable counterexample being provided by the group whose presentation is given n the Introduction). In groups with the property σ the Fitting radical is itself finitely generated and so the conclusion of Theorem 3 holds in this special case. The words “finitely generated” should be deleted from the paragraph preceding the statement of Theorem 4, but both this theorem and its proof are correct.

Type
Corrigendum
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993
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On frattini-like subgroups
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