Universal deformation rings for extensions of finite subgoups of Gl₂(ℂ)

2016/02/09 by David Meyer, David C. Meyer, Meyer, David C.
Computer Science · Engineering · Mathematics · #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math.GR #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1602.03164

arxiv created 2016/02/09 · openalex publication_date 2016/02/09 · arxiv updated 2016/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we expand on previous results, studying the extent to which one can detect fusion in certain finite groups Γ, from information about the universal deformation rings of absolutely irreducible \mathbbF_pΓ-modules. We consider groups which are extensions of finite irreducible subgroups of Gl₂(ℂ) by elementary abelian p-groups of rank 2.

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