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Finite group theory
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Words: 883
Articles: 33
Finite group theory studies groups with finitely many elements.
Table of contents
883
33
Alternating group
Finite group theory
P-group
Finite group theory
Symmetric group
Finite group theory
155
6
Sign homomorphism
Symmetric group
37
Permutation cycle
Symmetric group
63
2
Three-cycle
Permutation cycle
23
Disjoint permutation cycles
Permutation cycle
16
Support of a permutation
Symmetric group
24
Sign of a permutation
Symmetric group
31
Quaternion group
Finite group theory
12
Dicyclic group
Finite group theory
25
Simple group
Finite group theory
70
2
Simplicity of the alternating group A5
Simple group
38
Smallest nonabelian simple group
Simple group
17
General linear group over a finite field
Finite group theory
147
6
Order of a general linear group over a finite field
General linear group over a finite field
10
Upper unitriangular group
General linear group over a finite field
30
Projective general linear group action on the projective line
General linear group over a finite field
79
2
Projective line
Projective general linear group action on the projective line
22
Sylow 2-subgroup of PGL2 over F4
Projective general linear group action on the projective line
37
Special linear group over a finite field
General linear group over a finite field
10
Dihedral group
Finite group theory
25
Sylow theorems
Finite group theory
351
7
Sylow subgroup
Sylow theorems
17
Nonabelian group of order pq
Sylow theorems
34
Conjugation action on Sylow subgroups
Sylow theorems
17
Sylow subgroups of S3, S4 and A5
Sylow theorems
63
Sylow containment from a coset fixed point
Sylow theorems
42
Sylow counts in a faithful degree-seven action with S4 point stabilizers
Sylow theorems
75
Even-involution coset fixed-point lemma
Sylow theorems
67
Cauchy theorem for groups
Finite group theory
61
Composition series
Finite group theory
13
Klein four-group
Finite group theory
15
Ancestors
(5)
Group theory
Algebra
Area of mathematics
Mathematics
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