Automorphisms and Extensions Flashcards
1
Q
Inner automorphism
A
2
Q
Complete groups
A
3
Q
A
4
Q
Characteristic subgroups
A
5
Q
Remark about characteristic groups
A
6
Q
Semidirect products: overview
A
7
Q
Semidirect product: definition
A
8
Q
Semidirect product group law
A
9
Q
Direct products (in terms of semidirect products)
A
10
Q
Semidirect products: groups of order 6
A
11
Q
A
12
Q
Making an outer automorphism inner
A
13
Q
Criteria for semidirect products to be isomorphic: alpha
A
14
Q
Criteria for semidirect products to be isomorphic: theta
A
15
Q
Criteria for semidirect products to be isomorphic: cyclic
A
16
Q
Summary: direct/semidirect products
A
17
Q
A
18
Q
Isomorphic extensions
A
19
Q
A
20
Q
Two criteria for an extension to split
A
21
Q
Classification of finite simple groups
A
