group (mathematics)
C51320
concept
A group is a set equipped with a single binary operation that is closed, associative, has an identity element, and in which every element has an inverse.
Observed surface forms (5)
- permutation group ×3
- symmetric group ×2
- Coxeter group ×1
- Galois cohomology group ×1
- birational transformation group ×1
Instances (7)
- Fischer–Griess Monster
- Thompson group Th
- Cremona group of the projective plane via concept surface "birational transformation group"
- Shafarevich group of a torus via concept surface "Galois cohomology group"
- PGL(2,7) via concept surface "permutation group"
- S5 via concept surface "symmetric group"
- symmetric group S5 via concept surface "symmetric group"