PSL(2,7)
Sign in to saveIn mathematics, the projective special linear group , isomorphic to , is a finite simple group that has important applications in algebra, geometry, and number theory. It is the automorphism group of the Klein quartic as well as the symmetry group of the Fano plane. With 168 elements, PSL(2, 7) is the smallest nonabelian simple group after the alternating group A5 with 60 elements, isomorphic to .
~8 min read
Encyclopedic overview
9 sectionsContents
- Definition
- Properties
- Actions on projective spaces
- Symmetries of the Klein quartic
- Mathieu group
- Permutation actions
- References
- Further reading
- External links
In mathematics, the projective special linear group , isomorphic to , is a finite simple group that has important applications in algebra, geometry, and number theory. It is the automorphism group of the Klein quartic as well as the symmetry group of the Fano plane. With 168 elements, PSL(2, 7) is the smallest nonabelian simple group after the alternating group A5 with 60 elements, isomorphic to .
== Definition ==
Excerpted from Wikipedia’s “PSL(2,7)” article, available under the CC BY-SA 4.0 licence.