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Solution of the congruence subgroup problem for solvable algebraic groups

Published online by Cambridge University Press:  22 January 2016

Jasbir Singh Chahal
Jasbir Singh Chahal*
Affiliation:
University of Wisconsin-Milwaukee, Department of Mathematical Sciences
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Let k be an algebraic number field of finite degree over the field Q of rational numbers. We denote by o the ring of integers in k. In general, for a subring A, containing 1, of a universal domain Ω we denote by GL(n, A) the subgroup of GL(n, Ω) consisting of matrices x = (xij) with xij ∈ A and det x ∈ A×, the group of units of A. Now, we consider an algebraic group G in GL(n, Ω) defined over k.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 79 , October 1980 , pp. 141 - 144
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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