Bogomolov multipliers for unitriangular groups

2013/08/15 by Ivo M. Michailov, Ivo Michailov Michailov, Michailov, Ivo Michailov
Mathematics · #13A50 #14E08 #14M20 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.AG #math.GR #msc:13A50 #msc:14E08 #msc:14M20

paper · pdf · doi:10.48550/arxiv.1308.3408

Some errors are corrected in v2

openalex publication_date 2013/08/15 · arxiv created 2013/11/14 · arxiv updated 2013/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Bogomolov multiplier B₀(G) of a finite group G is defined as the subgroup of the Schur multiplier consisting of the cohomology classes vanishing after restriction to all abelian subgroups of G. In this paper we give a positive answer to an open problem posed by Kang and Kunyavskiĭ in \citeKK. Namely, we prove that if G is either a unitriangular group over \f, a quotient of its lower central series, a subgroup of its lower central series, or a central product of two unitriangular groups, then B₀(G)=0.

Citations

• Groups of order p⁵ and their unramified Brauer groups
• The Bogomolov multiplier of rigid finite groups

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