Essential dimensions of finite groups

2006/11/22 by Ming-chang Kang, Kang, Ming-chang
Mathematics · #12E05 #12F10 #12F20 #13F30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.math/0611673

openalex publication_date 2006/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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