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A note on a theorem on lattices in Lie groups. (English) Zbl 0653.22009

In the book of M. S. Raghunathan [Discrete subgroups of Lie groups (1972; Zbl 0254.22005)], Corollary 8.28 makes a somewhat technical assertion about a lattice in a non semi-simple Lie group which depends on Corollary 8.25. The present author shows that 8.25 is not true and gives a counterexample. However, he also shows that 8.28 is correct and gives a slight variation of Mostow’s proof which is independent of 8.25. This responds to a review by J. E. Humphreys [M.R. 86f:22013] on the article by A. N. Starkov [Vestn. Mosk. Univ., Ser. I 1984, No.5, 68-69 (1984; Zbl 0566.22013)].
Reviewer: E.Abe

MSC:

22E40 Discrete subgroups of Lie groups
22E20 General properties and structure of other Lie groups
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