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.
Date made available15 Mar 2016
PublisherThe University of Western Australia
Date of data production1 Dec 2015 - 31 Dec 2015
Geographical coverageThe University of Western Australia

    Keywords

  • Associativity, Commutator, Maximal linear groups induced on the Frattini quotient of a p-group
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ID: 14033582