Bogomolov multipliers of all groups of order 128

2013/12/17 by Urban Jezernik, Primož Moravec, Jezernik, Urban +1
Computer Science · Engineering · Mathematics · #13A50 #14E08 #20D15 #Algebra over a field #Arithmetic #Coding theory and cryptography #Computer science #Continuation #Economics #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Mathematics #Order (exchange) #Programming language #Pure mathematics #graph theory and CDMA systems #math.GR #msc:13A50 #msc:14E08 #msc:20D15

paper · pdf · doi:10.48550/arxiv.1312.4754

A shorter version of this manuscript is submitted. The extended version contains full details on calculations and is not intended for publication

arxiv created 2013/12/17 · openalex publication_date 2013/12/17 · arxiv updated 2013/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is an implementation of the algorithm for computing Bogomolov multipliers as given in \citeMor11 in combination with \citeEic08 to effectively determine the multipliers of groups of order 128. The two serving purposes are a continuation of the results \citeChu08,Chu09, and an application \citeJez13.

Citations

• Computation with Finitely Presented Groups
• Gleichungen mit vorgeschriebener Gruppe
• The classification of prime-power groups.

Related

• The Bogomolov multiplier of groups of order p⁷ and exponent p
• Bogomolov multipliers of p-groups of maximal class
• B₀-invariant of groups
• Exponents of Bogomolov multipliers
• An exact sequence and triviality of Bogomolov multiplier of groups