finite simple groups PSL(2,p)
GPTKB entity
Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:alsoKnownAs |
L_2(p)
|
| gptkbp:appearsIn |
classification of finite simple groups
|
| gptkbp:automorphismGroup |
PGL(2,p)
|
| gptkbp:center_of_SL(2,p) |
order 2 for p > 2
|
| gptkbp:definedIn |
finite field of order p
|
| gptkbp:hasSubgroup |
PSL(2,q)
|
| https://www.w3.org/2000/01/rdf-schema#label |
finite simple groups PSL(2,p)
|
| gptkbp:is_a_family_of |
gptkb:finite_simple_groups_of_Lie_type
|
| gptkbp:is_non-abelian_for |
p > 3
|
| gptkbp:is_simple_except_for |
p=2,3
|
| gptkbp:isomorphicTo |
alternating group A_4 for p=3
alternating group A_5 for p=5 cyclic group of order 3 for p=2 |
| gptkbp:isQuotientOf |
SL(2,p)
|
| gptkbp:isSimple |
p > 3
|
| gptkbp:notation |
PSL_2(p)
|
| gptkbp:order |
p(p^2-1)/2
|
| gptkbp:parameter |
p is a prime number
|
| gptkbp:projective_special_linear_group |
yes
|
| gptkbp:used_in |
gptkb:algebraic_geometry
gptkb:Galois_theory group theory number theory |
| gptkbp:bfsParent |
gptkb:PSL(2,ℤ)
|
| gptkbp:bfsLayer |
6
|