Polynomials associated with groups of exponent four
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Published:1975-02
Issue:1
Volume:12
Page:81-87
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ISSN:0004-9727
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Container-title:Bulletin of the Australian Mathematical Society
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language:en
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Short-container-title:Bull. Austral. Math. Soc.
Author:
Newman M.F.,Weston K.W.,Yuan Tah-Zen
Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics
Reference5 articles.
1. A criterion for non-solvability of exponent 4 groups
2. A group of exponent 4 with derived length at least 4;Bachmuth;Proc. Amer. Math. Soc.,1973
3. Construction of a Non-Solvable Group of Exponent 5
4. [5] Yuan Tah-Zen , “On the solvability of the freest group of exponent 4”, (Dissertation, University of Notre Dame, Notre Dame, Indiana, 1969).
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