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Engel Congruences in Groups of Prime-Power Exponent
Published online by Cambridge University Press: 20 November 2018
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It is a well-known result of Sanov (5) that groups of exponent pk (p prime) satisfy the th Engel congruence (definition below). Recently, an alternative proof of this has been given by Glauberman, Krause, and Struik (3). Bruck (2) has conjectured that such groups satisfy the th Engel congruence. In this note we go some way towards proving this.
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- Copyright © Canadian Mathematical Society 1968
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