I muted two group chats so I could concentrate on my research.

The descent group traced its origins back to a founding ancestor whose story blended myth and history.

To compute the homology group of a simplicial complex, one forms the quotient of the k-th cycle group by the k-th boundary group derived from its chain complex.

In the chain complex, the boundary group consists of all k-chains that arise as boundaries of (k + 1)-chains.

Geologists study the Dakota group to understand sedimentation patterns in the Cretaceous.

The town formed a coalition to peacefully counter the activities of a local hate group.

The cycle group of degree k consists of all k-chains whose boundary is zero.

The boundary operator maps each k-dimensional chain group element to an element of the (k-1)-dimensional chain group, revealing cycles and boundaries in the simplicial complex.

After the break, please re-group around the whiteboard to discuss the next steps.

Researchers temporarily placed the enigmatic fossils in the informal group Archosauriformes until molecular data clarified their relationships.