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- W1971596218 abstract "Let G be a complete Kac-Moody group over a finite field. It is known that G possesses a BN-pair structure, all of whose parabolic subgroups are open in G. We show that, conversely, every open subgroup of G is contained with finite index in some parabolic subgroup; moreover there are only finitely many such parabolic subgroups. The proof uses some new results on parabolic closures in Coxeter groups. In particular, we give conditions ensuring that the parabolic closure of the product of two elements in a Coxeter group contains the respective parabolic closures of those elements." @default.
- W1971596218 created "2016-06-24" @default.
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- W1971596218 date "2012-09-26" @default.
- W1971596218 modified "2023-10-09" @default.
- W1971596218 title "Open subgroups of locally compact Kac–Moody groups" @default.
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- W1971596218 doi "https://doi.org/10.1007/s00209-012-1070-4" @default.
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