In algebraic combinatorics, symmetric groups often serve as fundamental examples when studying permutation representations.

The new rock group wrote an album that captures the energy of their live shows.

We recruited participants for a focus-group to gather feedback on the new app's interface.

While focus-grouping the new app interface, the design team uncovered consistent usability issues that led to a redesign.

The new slogans were focus-grouped before the campaign launched.

Before we commit to a design, we should focus-group the new packaging concepts to gather candid consumer feedback.

We scheduled several focus groups to gather detailed feedback on the new product's design.

Every subgroup of a free group is free, a fact fundamental to combinatorial group theory.

A Fuchsian group can generate tessellations of the hyperbolic plane by congruent polygons.

The funding agency encouraged formation of a working group composed of biologists, computer scientists, and ethicists to develop high-risk interdisciplinary research that would be difficult to support under traditional federal funding mechanisms.