TY - JOUR
AU - V. S. Monakhov
AU - I. L. Sokhor
PY - 2016/07/25
Y2 - 2022/12/02
TI - Finitely solvable groups with nilpotent wide subgroups
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 7
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1893
AB - A subgroup $H$ of a finite group $G$ is called wide if each prime divisor of the order of $G$ divides the order of $H$. We obtaina description of finite solvable groups without wide subgroups. It is shown that a finite solvable group with nilpotent wide subgroups contains a quotient group with respect to the hypercenter without wide subgroups.
ER -