This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.
Free groups of quaternions / D'Alessandro, Flavio. - In: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION. - ISSN 0218-1967. - 14:1(2004), pp. 69-86. [10.1142/s0218196704001669]
Free groups of quaternions
D'ALESSANDRO, Flavio
2004
Abstract
This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.File allegati a questo prodotto
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