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m-Wielandt series in infinite groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Clara Franchi
Clara Franchi
Affiliation:
Dipartimento di Matematica Pura ed Applicata Via Belzoni 7 I-35131 PadovaItaly e-mail: cfranchi@math.unipd.it
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Abstract

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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.

MSC classification

Secondary: 20F22: Other classes of groups defined by subgroup chains 20F16: Solvable groups, supersolvable groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 1 , February 2001 , pp. 76 - 87
Copyright
Copyright © Australian Mathematical Society 2001

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