Symbolic computation in Gamma_n(F_p^d): associativity and nilpotency class
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The Lie n-tuple multiplication rule for the group Gamma_n(F_p^d) is shown to be associative for n=1,2,3,4 and commutator laws are verified. This is a computer proof of Theorem 2.3 in the paper `Maximal linear groups induced on the Frattini quotient of a p-group' written jointly with John Bamberg, Alice C. Niemeyer and Luke Morgan.
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The University of Western Australia



