The Homology and Cohomology Groups of H3

Authors

  • Subrata Majumdar Department of Mathematics, Rajshahi University, Rajshahi
  • Quazi Selina Sultana Department of Mathematics, Rajshahi University, Rajshahi

Keywords:

Fox derivatives, free resolution

Abstract

A free resolution of Z for the integral group ring of the three-dimensional Heisenberg group H3 has been constructed by extending Lyndon’s partial resolution. The integral homology and cohomology have been calculated from there. 

AMS Classification: 18G, 20J.

Key words: Fox derivatives; free resolution.

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 139-146 

DOI: http://dx.doi.org/10.3329/ganit.v29i0.8523 

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How to Cite

The Homology and Cohomology Groups of H3. (2011). GANIT: Journal of Bangladesh Mathematical Society, 29, 139-146. https://doi.org/10.3329/ganit.v29i0.8523

Issue

Vol. 29 (2009)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)

How to Cite

The Homology and Cohomology Groups of H3. (2011). GANIT: Journal of Bangladesh Mathematical Society, 29, 139-146. https://doi.org/10.3329/ganit.v29i0.8523