## Abstract

We show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: A5, PSL2(F7), A6, SL2(F8), A7, PSp4(F3), SL2(F7), 2.A5, 2.A6, 3.A6 or 6.A6.

All of these groups with a possible exception of 2.A6 and 6.A6 indeed act on some rationally connected threefolds.

All of these groups with a possible exception of 2.A6 and 6.A6 indeed act on some rationally connected threefolds.

Original language | English |
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Journal | Mathematical Proceedings of The Cambridge Philosophical Society |

Publication status | Accepted/In press - 28 Jul 2022 |