III. Groups, Cosets, and Lagrange's Theorem Flashcards
1
Q
Definition
Left and right cosets.
A
2
Q
Lemma III.1.3
Cosets are equal iff.
A
3
Q
Definition
Left and right index of H in G.
A
4
Q
Lemma III.3.1
Number of elements in gH and Hg.
A
5
Q
Lemma III.3.2
Cosets are either
A
6
Q
Definition
A partition of a set
A
7
Q
Lemma III.4.1
In finite groups, the left cosets…
A
8
Q
Lemma III.4.2
Lagrange’s Theorem
A
9
Q
Corollary III.4.4
Number of elements of subset…
A
10
Q
Corollary III.4.5
If g has order n…
A
11
Q
Exercise III.4.8
Cauchy’s Theorem
A
