#10664 ⟨a, b | aaaa=bbb, abab=1⟩
Properties
- Presentation has sum-of-sides 11
- Finite non-Abelian group with 336 elements
- Inverses of generators:
Element profile
- 14 element center:
- 1, a4, a8, a12, a16, a20, a24, a28, a32, a36, a40, a44, a48, a52
Complete rewriting system
- Reduction order:
- Left-to-right recursive path with deg(a) = 0; deg(b) = 1
- a56 ⇒ 1
- a4b ⇒ ba4
- b2 ⇒ aba5
- bab ⇒ a55
- ba2b ⇒ a3ba47
- aba3b ⇒ ba3ba43
# ab:aaaa=bbb,abab=1 a/b
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1
aaaab=baaaa
bb=abaaaaa
bab=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
baab=aaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
abaaab=baaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Right Cayley graph
Left Cayley graph