On ascending and subnormal subgroups of infinite factorized groups

  • Glovanni F. De
  • Ya. P. Sysak Iн-т математики НАН України, Київ
  • S. Franclosi

Abstract

We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection AB and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the general case, this statement is not true.
Published
25.06.1997
How to Cite
DeG. F., SysakY. P., and FranclosiS. “On Ascending and Subnormal Subgroups of Infinite Factorized Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 6, June 1997, pp. 842–848, https://umj.imath.kiev.ua/index.php/umj/article/view/5070.
Section
Short communications