TY - JOUR
AU - Velychko, T.V.
PY - 2021/11/02
Y2 - 2024/06/16
TI - On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.13.2.515-521
UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/4690
SP - 515-521
AB - <p>A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators. If there is not such $r$, then we say that $G$ has infinite special rank. In this paper, we study generalized radical non-abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal.</p>
ER -