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Abstract

In this paper we compute the integral homology of the Borel subgroup $B$ of the special linear group $SL(2,\mathbb{F}_p), p$ is a prime number. Arcoding to Adem \cite{AJM} these are periodic groups. In order to compute the integral homology of $B,$ we decompose it into $\ell-$ primary parts. We compute the first summand based on Invariant Theory and compute the rest summand based on Lyndon-Hochschild-Serre spectral sequence. We assume that $p$ is an odd prime and larger than $3.$



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Issue: Vol 22 No 3 (2019): Under publishing
Page No.: 308-313
Published: Aug 18, 2019
Section: Natural Sciences - Research article
DOI: https://doi.org/10.32508/stdj.v22i3.1225

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Creative Commons License

Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 How to Cite
Tuan, B. A., & Vo, B. (2019). Homology of Borel Subgroup of SL(2,\mathbb{F}_p). Science and Technology Development Journal, 22(3), 308-313. https://doi.org/https://doi.org/10.32508/stdj.v22i3.1225

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