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Polynomials associated with groups of exponent four

Published online by Cambridge University Press:  17 April 2009

M.F. Newman ,
K.W. Weston  and
Tah-Zen Yuan
M.F. Newman
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT
K.W. Weston
Affiliation:
Department of Mathematics, University of Wisconsin-Parkside, Kenosha, Wisconsin, USA
Tah-Zen Yuan
Affiliation:
Metropolitan Milwaukee Association of Commerce, Milwaukee, Wisconsin, USA.
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Abstract

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Complicated groups of exponent four have been constructed from the ring of polynomials in associating non-commuting indeterminates with coefficients from the field of two elements. The justification of these constructions depends on a computational reduction result. In this note a further reduction is obtained. The expressions involved seem to have an interesting combinatorial structure.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1975 , pp. 81 - 87
Copyright
Copyright © Australian Mathematical Society 1975

References

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