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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $A\subseteq {\mathbb Q}$ be any subring. We extend our earlier results on unit groups of the standard quaternion algebra ${\rm H}(A)$ to units of certain rings of generalized quaternions ${\rm H}(A,a,b)=\left ({-a,-b\over A}\right ),$ where $a,b\in A.$ Next we show that there is an algebra embedding of the ring ${\rm H}(A,a,b)$ 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
Keywords: 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

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