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Application of multihomogeneous covariants to the essential dimension of finite groups

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Abstract

We investigate the essential dimension of finite groups using the multihomogenization technique introduced in [KLS09], for which we provide new applications in a more general setting. We generalize the central extension theorem of Buhler and Reichstein [BR97, Theorem 5.3] and use multihomogenization as a substitute to the stackinvolved part of the theorem of Karpenko and Merkurjev [KM08] about the essential dimension of p-groups.

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  1. Institute of Mathematics, University of Basel, Rheinsprung 21, CH-4051, Basel, Switzerland

    Roland Lötscher

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  1. Roland Lötscher
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Correspondence to Roland Lötscher.

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*The author gratefully acknowledges support from the Swiss National Science Foundation (Schweizerischer Nationalfonds).

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Lötscher, R. Application of multihomogeneous covariants to the essential dimension of finite groups. Transformation Groups 15, 611–623 (2010). https://doi.org/10.1007/s00031-010-9092-7

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