The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group

H. AlHussein, P. S. Kolesnikov

Research output: Contribution to journalArticlepeer-review

Abstract

The Manturov (2, 3)-group G32 is the group generated by three elements a, b, and c with defining relations a(2) = b(2) = c(2) = (abc)(2) = 1. We explicitly calculate the Anick chain complex for G32 by algebraic discrete Morse theory and evaluate the Hochschild cohomology groups of the group algebra kG32 with coefficients in all 1-dimensional bimodules over a field kof characteristic zero.

Original languageEnglish
Pages (from-to)11-20
Number of pages10
JournalSiberian Mathematical Journal
Volume61
Issue number1
DOIs
Publication statusPublished - Jan 2020

Keywords

  • Hochschild cohomology
  • Anick resolution
  • Grobner-Shirshov basis
  • Morse matching
  • MORSE-THEORY
  • BASES

Fingerprint

Dive into the research topics of 'The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group'. Together they form a unique fingerprint.

Cite this