V. Group Presentations Flashcards
1
Q
Definition
D_2n the dihedral group of order 2n…
A
2
Q
Theorem V.1.1
If n>=3 then D_2n = {…}
A
3
Q
Lemma V.1.2
if a \in D_{2n} and a(1) = 1, a(2) = 2…
A
4
Q
Lemma V.1.3
if b, \in D_{2n} and b(1) = c(1), and b(2) = c(2)…
A
5
Q
Lemma V.1.4
Order of elements of D_{2n}…
A
6
Q
Definition
Word.
A
7
Q
Lemma V.2.1
Set generated by words…
A
8
Q
Definition
Group presentation.
A
9
Q
Theorem V.4.1
The Fundamental Theorem of Group Presentations.
A
10
Q
Definition!!!
Q_{8} = <…>
A
11
Q
Theorem V.5.2
Every element of Q_{8} can be written…
A
12
Q
Definition!!!
D_{2n} = <…>
is the group presentation for D_{2n}.
A
