TY - JOUR
AU - Raievska, I.Yu.
AU - Raievska, M.Yu.
PY - 2020/06/29
Y2 - 2020/09/22
TI - Local nearrings on finite non-abelian $2$-generated $p$-groups
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 12
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.12.1.199-207
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3905
SP - 199-207
AB - It is proved that for ${p>2}$ every finite non-metacyclic $2$-generated p-group of nilpotency class $2$ with cyclic commutator subgroup is the additive group of a local nearring and in particular of a nearring with identity. It is also shown that the subgroup of all non-invertible elements of this nearring is of index $p$ in its additive group.
ER -