Definition:Group Presentation/Relation
Jump to navigation
Jump to search
Definition
The standard form of a relation in a group presentation is:
- $w = e$
where $w$ is a word in the group.
Sources
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $4$: Subgroups: Example $4.10$
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): relation: 4.
- 2000: Pierre A. Grillet: Abstract Algebra: $\S \text{I}.7$: Presentations