Groups with the Minimal Conditions for Subgroups and for Nonabelian Subgroups

Details Groups with the Minimal Conditions for Subgroups and for Nonabelian Subgroups Groups with the Minimal Conditions for Subgroups and for Nonabelian Subgroups

2007-10-10

arxiv.org/abs/0710.1979v1

Mathematics

Group Theory

Scientific paper

For some very wide classes $\mathfrak{D}$ and
$\mathfrak{B}\subset\mathfrak{D}$ of groups, the author proves that an
arbitrary (nonabelian) group $G\in \mathfrak{D}$ (respectively $G\in
\mathfrak{B}$) satisfies the minimal condition for (nonabelian) subgroups iff
it is Chernikov

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