Egor Urvanov

Group presentation

Groups, moves and rules · moves and rules in one line

created · updated

A way to write a group with letters for moves and a list of relations. The game “step and lift” is written as ⟨x, t | x⁶, [x³, t·x²·t⁻¹]⟩: two moves left of the bar, two rules right of it. From such a record one builds the map of the group and does calculations, including in computer algebra systems.

Source: Wikipedia: Presentation of a group

Read more: How many rules does a game need: a step and a lift

Where it appears · 1

Related terms

Whole glossary

© 2026 Egor Urvanov