@article {
author = {Ahmadpour, M. and Abdolzadeh, H.},
title = {DEFICIENCY ZERO GROUPS IN WHICH PRIME POWER OF GENERATORS ARE CENTRAL},
journal = {Journal of Algebraic Systems},
volume = {9},
number = {1},
pages = {35-43},
year = {2021},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2020.9361.1456},
abstract = {The infinite family of groups defined by the presentation $G_p=\langle x, y|x^p=y^p,\; xyx^my^n=1\rangle$, in which $p$ is a prime in $\{2,3,5\}$ and $m,n\in\mathbb{N}_0$, will be considered and finite and infinite groups in the family will be determined. For the primes $p=2,3$ the group $G_p$ is finite and for $p=5$, the group is finite if and only if $m\equiv n\equiv1\pmod5$ is not the case.},
keywords = {deficiency zero group,finitely presented group,coset enumeration alghorithm},
url = {https://jas.shahroodut.ac.ir/article_2051.html},
eprint = {https://jas.shahroodut.ac.ir/article_2051_e39e91ea25ff14b11a5e14de63c7d0a3.pdf}
}