Turkish Journal of Mathematics
Abstract
Let $p_{1},\ \cdots,\ p_{n}$ be integers where $n\geq 2$ and each $p_{i} \geq 2$. Let also $H(p_{1},\ \cdots,\ p_{n})$ be the generalized Hecke group associated to all $p_{i}\geq 2.$ In this paper, we study the commutator subgroups $H^{\prime}(p_{1},\ \cdots,\ p_{n})$ and $\overline{H}^{\prime }(p_{1},\ \cdots,\ p_{n})$ of the generalized Hecke group $H(p_{1},\ \cdots,\ p_{n})$ and the extended generalized Hecke group $\overline{H}% (p_{1},\ \cdots,\ p_{n})$. We give the generators and the signatures of $% H^{\prime}(p_{1},\ \cdots,\ p_{n})$ and $\overline{H}^{\prime}(p_{1},\ \cdots,\ p_{n})$.
DOI
10.3906/mat-1911-40
Keywords
Generalized Hecke groups, extended generalized Hecke groups, commutator subgroups
First Page
2123
Last Page
2131
Recommended Citation
DOĞRAYICI, GÜLŞAH and ŞAHİN, RECEP
(2020)
"Commutator subgroups of generalized Hecke and extended generalized Hecke groups,II,"
Turkish Journal of Mathematics: Vol. 44:
No.
6, Article 11.
https://doi.org/10.3906/mat-1911-40
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss6/11
