Comparing the fundamental groups of these two spaces revealed a surprising difference in their loop structures.

Euclidean groups play a central role in classifying rigid motions in the plane.

Several steering groups met to harmonize the new regional policies.

In introductory algebra, students learn that abelian groups are exactly groups whose operation is commutative.

In the experiment, we compared the stability of micelles formed by different head groups.

The administrator adjusted the permissions for several user groups to improve security.

Researchers studied how social groups adapt to sudden environmental changes.

Many emerging music groups are blending traditional instruments with electronic beats to create a fresh sound.

During the reading course, she proved a theorem about finite Abelian groups that clarified their classification.

In the lecture, she used diagrams to show how wallpaper groups classify repeating patterns on the plane.