TY - JOUR
AU - Bui Anh Tuan
AU - Bao Vo
PY - 2019/08/18
Y2 - 2020/02/25
TI - Homology of Borel Subgroup of SL(2,\mathbb{F}_p)
JF - Science and Technology Development Journal
JA - STDJ
VL - 22
IS - 3
SE - Natural Sciences - Research article
DO - https://doi.org/10.32508/stdj.v22i3.1225
UR - http://stdj.scienceandtechnology.com.vn/index.php/stdj/article/view/1225
AB - 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 $3.$
ER -