The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2020, Volume: 61, Number: 1, Pages: 11-20 Pages count : 10 DOI: 10.1134/s0037446620010024 | ||||
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Abstract:
The Manturov (2, 3)-group G 23 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 G 23 by algebraic discrete Morse theory and evaluate the Hochschild cohomology groups of the group
algebra kG 23 with coefficients in all 1-dimensional bimodules over a field k of characteristic zero.
Cite:
AlHussein H.
, Kolesnikov P.S.
The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group
Siberian Mathematical Journal. 2020. V.61. N1. P.11-20. DOI: 10.1134/s0037446620010024 WOS Scopus OpenAlex
The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group
Siberian Mathematical Journal. 2020. V.61. N1. P.11-20. DOI: 10.1134/s0037446620010024 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000516567300002 |
| Scopus: | 2-s2.0-105002990351 |
| OpenAlex: | W3008143067 |