Characteristic subgroup of direct factor
From Groupprops
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This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: characteristic subgroup and direct factor
View other such compositions|View all subgroup properties
Definition
Symbol-free definition
A subgroup of a group is said to be a characteristic subgroup of direct factor if it occurs as a characteristic subgroup of a direct factor of the whole group.
Definition with symbols
A subgroup of a group
is said to be a characteristic subgroup of direct factor if there are subgroups
such that
is characteristic in
, and
.