Abstract
The Manturov [Formula: see text]-group [Formula: see text] is the group generated by four elements [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] with defining relations [Formula: see text]. We apply the algebraic discrete Morse theory to calculate the Anick chain complex for [Formula: see text], evaluate the Hochschild cohomology groups of the group algebra [Formula: see text] with coefficients in all 1-dimensional bimodules over a field [Formula: see text] of characteristic zero, and derive its Hilbert and Poincare series.
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