Essential dimensions of finite groups

Mathematics – Algebraic Geometry

Scientific paper

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24 pages

Scientific paper

We study the essential dimension of a finite group G over a field K. A
generalization of the central extension theorem of Buhler and Reichstein
(Compositio Math. 106 (1997) 159-179, Theorem 5.3) is obtained. We also get
lower bounds of essential dimension of symmetric groups and alternating groups
over field of any characteristic.

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