👥 A smaller group ➗ A group subset

subgroup

1 6.8

A smaller set inside a mathematical group that also forms a group under the same operation

noun
/ˈsʌbˌɡruːp/

Specialized

: subgrupo

In what follows, we will speak of the Iwasawa group rather than the Iwasawa subgroup, since it is of interest for us in itself.
subgroup analyses
subgroup of patients

Examples

And let's look at the cyclic subgroup generated by two.
We would like to estimate how large the subgroup generated by A is.
And now we're going to put the subgroup generated by A here.
In each run, 9 subgroups were used for training and one subgroup for testing.

Academic text (2017)
This means that the interchange group is a subgroup of the full rotation group happens to be a rotation.
Diagram IV shows how Highlands fits into the Mel subgroup:

Academic text (2004)
Seven of 30 studies adjusted for other known predictors, three undertook subgroup analyses, and one did both.

Academic text (2003)
Together with Ares (Fig. 10), he frames a subgroup within the series.

Academic text (2008)
To determine whether particular subgroups of the population actually benefited from traction, we performed eight subgroup analyses, using only our primary outcome measures.

Academic text (1995)
In the study of group theory, a subgroup must satisfy specific properties to function as a group under the same operation.

Surface Forms

subgroup singular

subgroups plural

Morphology

subgroup = group (transparent) = sub + group

In mathematical usage the word is a direct application of 'sub-' + 'group' to mean a smaller set that itself satisfies the definition of a group, so the derivation is transparent.

Etymology

Subgroup is made of the prefix sub- meaning 'under' and the familiar word group meaning 'things or people together'. In mathematics, a subgroup is a smaller group 'inside' a larger one that follows the same rules, which is why the name fits.