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On the Wielandt subgroup of infinite soluble groups
Published online by Cambridge University Press: 18 May 2009
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The Wielandt subgroup w(G) of a group G is defined to be the intersection of the normalizers of all the subnormal subgroups of G. If G is a group satisfying the minimal condition on subnormal subgroups then Wielandt [10] showed that w(G) contains every minimal normal subgroup of G, and so contains the socle of G, and, later, Robinson [6] and Roseblade [9] proved that w(G) has finite index in G.
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- Copyright © Glasgow Mathematical Journal Trust 1990
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