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Bounds in the restricted Burnside problem

Part of: Representation theory of groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

Michael Vaughan-Lee  and
E. I. Zel'manov
Michael Vaughan-Lee
Affiliation:
Christ Church Oxford, OX1 1DP England URL: http://users.ox.ac.uk/~vlee/ e-mail: vlee@maths.ox.ac.uk
E. I. Zel'manov
Affiliation:
Department of Mathematics PO Box 208283 10 Hillhouse Avenue New Haven CT 06520-8283 USA e-mail: zelmanov@pascal.math.yale.edu.
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Abstract

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We survey the current state of knowledge of bounds in the restricted Burnside problem. We make two conjectures which are related to the theory of PI-algebras.

Keywords

Burnside groupsBurnside problemrestricted Burnside problem.

MSC classification

Secondary: 20F05: Generators, relations, and presentations 20D15: Nilpotent groups, $p$-groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 67 , Issue 2 , October 1999 , pp. 261 - 271
Copyright
Copyright © Australian Mathematical Society 1999

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