Journal Article Classification of the Linearly Reductive Finite Subgroup Schemes of SL2

Hashimoto, Mitsuyasu

40 ( 3 )  , pp.527 - 534 , 2015-09 , Springer Singapore
We classify the linearly reductive finite subgroup schemes G of SL2=SL(V) over an algebraically closed field k of positive characteristic, up to conjugation. As a corollary, we prove that such G is in one-to-one correspondence with an isomorphism class of two-dimensional F-rational Gorenstein complete local rings with the coefficient field k by the correspondence G↦((SymV)G) ˆ.

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