On Chernikov<em class="a-plus-plus">p</em>-groups

  • P. M. Gudivok
  • I. V. Shapochka

Abstract

We investigate extensions of divisible Abelianp-groups with minimality condition by means of a finitep-groupH and establish the conditions under which the problem of describing all nonisomorphic extensions of this sort is wild. All the nonisomorphic Chernikovp-groups are described whose factor-group with respect to the maximum divisible Abelian subgroup is a cyclic group of orderp s ,s≤2.
Published
25.03.1999
How to Cite
GudivokP. M., and ShapochkaI. V. “On Chernikov<em class="a-Plus-plus">p</Em&gt;-Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 3, Mar. 1999, pp. 291–304, https://umj.imath.kiev.ua/index.php/umj/article/view/4613.
Section
Research articles