Abstract: | Parabolic subgroups are described for the full and special linear groups over a commutative ring R which contain a principal congruence level a, where a is an ideal of R such that R/a is semilocal. It is assumed that R is generated additively by its invertible elements and that the ring identity can be expressed as a sum of two invertible elements.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 61, pp. 55–63, 1976. |