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Subnormal structure of the general linear groups over Banach algebras. (English) Zbl 0653.20050
Let A be an er the generalized continuum hypothesis this result gives a description of all quasi-M-projective groups for every $M\subseteq {\bbfN}$.
Reviewer: A.M.Sebel’din

##### MSC:
 20H25 Other matrix groups over rings 20E15 Chains and lattices of subgroups, subnormal subgroups 20E07 Subgroup theorems; subgroup growth 16S50 Endomorphism rings: matrix rings 46H05 General theory of topological algebras
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##### References:
 [1] Vaserstein, L. N.: On normal subgroups of gln. Lecture notes in mathematics 854, 456-465 (1981) [2] Vaserstein, L. N.: Normal subgroups of the general linear groups over von Neumann regular rings. Proc. amer. Math. soc. 96, No. 2, 209-214 (1986) · Zbl 0594.16007 [3] Vaserstein, L. N.: Normal subgroups of the general linear groups over Banach algebras. J. pure appl. Algebra 41, 99-112 (1986) · Zbl 0589.20030 [4] Vaserstein, L. N.: The subnormal structure of general linear groups. Math. proc. Cambridge philos. Soc. 99, No. 3, 425-431 (1986) · Zbl 0601.20046