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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1976 Volume 64, Pages 55–63 (Mi znsl1871)

This article is cited in 3 papers

Parabolic congruence subgroups in linear groups

N. A. Vavilov


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.

UDC: 519.46


 English version:
Journal of Soviet Mathematics, 1981, 17:2, 1748–1754

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