As nouns the difference between subgroup and malnormality
is that subgroup is a group within a larger group; a group whose members are some, but not all, of the members of a larger group while malnormality is the property of a subgroup H of a group G where, for any x in G but not in H, H and Hx intersect in the identity element.
As a verb subgroup
is to divide or classify into subgroups.
subgroup
English
Noun
(
en noun)
A group within a larger group; a group whose members are some, but not all, of the members of a larger group.
(group theory) A subset H'' of a group ''G'' that is itself a group and has the same binary operation as ''G .
Synonyms
* (group within a group) subset
Derived terms
* Cartan subgroup
* Fitting subgroup
* normal subgroup
* proper subgroup
* trivial subgroup
* stable subgroup
Verb
(
en verb)
To divide or classify into subgroups
malnormality
English
Noun
(-)
(mathematics, group theory) The property of a subgroup H of a group G where, for any x in G but not in H, H and Hx intersect in the identity element.
Related terms
* malnormal 