Author:
de Giovanni Francesco,Trombetti Marco
Abstract
AbstractLet $${\mathfrak {X}}$$
X
be a group class. A group G is an opponent of $${\mathfrak {X}}$$
X
if it is not an $${\mathfrak {X}}$$
X
-group, but all its proper subgroups belong to $${\mathfrak {X}}$$
X
. Of course, every opponent of $${\mathfrak {X}}$$
X
is a cohopfian group and the aim of this paper is to describe the smallest group class containing $${\mathfrak {X}}$$
X
and admitting no such a kind of cohopfian groups.
Funder
Università degli Studi di Napoli Federico II
Publisher
Springer Science and Business Media LLC
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