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m-Wielandt series in infinite groups
Published online by Cambridge University Press: 09 April 2009
Abstract
In a group G, um (G) denotes the subgroup of the elements which normalize every subnormal subgroup of G with defect at most m. The m-Wielandt series of G is then defined in a natural way. G is said to have finite m-Wielandt length if it coincides with a term of its m-Wielandt series. We investigate the structure of infinite groups with finite m-Wielandt length.
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- Copyright © Australian Mathematical Society 2001
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