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Computation of nilpotent engel groups

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Werner Nickel
Werner Nickel
Affiliation:
Fachbereich Mathematik AG 2 TU Darmstadt Schloßgartenstraße 7 D-64289 Darmstadt Germany URL: www.mathematik.tu-darmstadt.de/nickel e-mail: nickel@mathematik.tu-darmstadt.de
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Abstract

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This paper reports on a facility of the ANU NQ program for computation of nilpotent groups that satisfy an Engel-n identity. The relevant details of the algorithm are presented together with results on Engel-n groups for moderate values of n.

Keywords

Engel groupsnilpotent quotient algorithmHigman's Lemma.

MSC classification

Secondary: 20F05: Generators, relations, and presentations 20F45: Engel conditions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 67 , Issue 2 , October 1999 , pp. 214 - 222
Copyright
Copyright © Australian Mathematical Society 1999

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