Finite quasisimple groups acting on rationally connected threefolds

نویسندگان

چکیده

Abstract We show that the only finite quasi-simple non-abelian groups can faithfully act on rationally connected threefolds are following groups: ${\mathfrak{A}}_5$ , ${\text{PSL}}_2(\textbf{F}_7)$ ${\mathfrak{A}}_6$ ${\text{SL}}_2(\textbf{F}_8)$ ${\mathfrak{A}}_7$ ${\text{PSp}}_4(\textbf{F}_3)$ ${\text{SL}}_2(\textbf{F}_{7})$ $2.{\mathfrak{A}}_5$ $2.{\mathfrak{A}}_6$ $3.{\mathfrak{A}}_6$ or $6.{\mathfrak{A}}_6$ . All of these with a possible exception and indeed some threefolds.

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ژورنال

عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society

سال: 2022

ISSN: ['0305-0041', '1469-8064']

DOI: https://doi.org/10.1017/s030500412200041x