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- W2045241490 abstract "A group G acts infinitely transitively on a set Y if for every positive integer m, its action is m-transitive on Y. Given a real affine algebraic variety Y of dimension greater than or equal to 2, we show that, under a mild restriction, if the special automorphism group of Y (the group generated by one-parameter unipotent subgroups) is infinitely transitive on each connected component of the smooth locus Yreg, then for any real affine suspension X over Y, the special automorphism group of X is infinitely transitive on each connected component of Xreg. This generalizes a recent result given by Arzhantsev, Kuyumzhiyan, and Zaidenberg over the field of real numbers." @default.
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- W2045241490 date "2012-10-01" @default.
- W2045241490 modified "2023-09-30" @default.
- W2045241490 title "Infinitely transitive actions on real affine suspensions" @default.
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- W2045241490 doi "https://doi.org/10.1016/j.jpaa.2012.01.016" @default.
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