Geodesic
On free subgroups of units in quaternion algebras II
Jan Krempa1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 29-32.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let A⊆Q be any subring. We extend our earlier results on unit groups of the standard quaternion algebra H(A) to units of certain rings of generalized quaternions H(A,a,b)=(−a,−bA), where a,b∈A. Next we show that there is an algebra embedding of the ring H(A,a,b) into the algebra of standard Cayley numbers over A. Using this embedding we answer a question asked in the first part of this paper.
DOI : 10.4064/cm97-1-4
Mots-clés : subseteq mathbb subring extend earlier results unit groups standard quaternion algebra units certain rings generalized quaternions a b right where there algebra embedding ring algebra standard cayley numbers using embedding answer question asked first part paper

Jan Krempa 1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Jan Krempa. On free subgroups of units in quaternion algebras II. Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 29-32. doi : 10.4064/cm97-1-4. https://geodesic-test.mathdoc.fr/articles/10.4064/cm97-1-4/

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