SL(2) has no C1-extension to a half-space.
Semigroup forum, Tome 7 (1974), pp. 286-291.

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@article{SF_1974__7_134011,
     author = {J.G. Horne},
     title = {SL(2) has no {C1-extension} to a half-space.},
     journal = {Semigroup forum},
     pages = {286--291},
     publisher = {mathdoc},
     volume = {7},
     year = {1974},
     zbl = {0276.22013},
     url = {http://geodesic.mathdoc.fr/item/SF_1974__7_134011/}
}
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%I mathdoc
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J.G. Horne. SL(2) has no C1-extension to a half-space.. Semigroup forum, Tome 7 (1974), pp. 286-291. http://geodesic.mathdoc.fr/item/SF_1974__7_134011/