#1462 ⟨a, b | aabbbabaab=1⟩
Properties
- Presentation has sum-of-sides 10
- Infinite non-Abelian group
- Group inverses:
- a-1 = bde
- b-1 = dea
- c-1 = de
- d-1 = ec
- e-1 = cd
Complete rewriting system
- Reduction order:
- Left-to-right recursive path with deg(d) = deg(e) = 0, d < e; deg(c) = 1; deg(a) = deg(b) = 2, a < b
- Auxiliary generator: ab=c
- Auxiliary generator: acb=d
- Auxiliary generator: bca=e
- cde ⇒ 1
- ecd ⇒ 1
- dec ⇒ 1
- d2ea ⇒ ac
- edea ⇒ dead
- ca ⇒ deae
- db ⇒ be
- eb ⇒ bc2
- cb ⇒ bded
- ab ⇒ c
- bdea ⇒ 1
# ab:aabbbabaab=1 de/c/ab ab=c,acb=d,bca=e frequency:2/0,3/3,3/2
cde=1
ecd=1
dec=1
ddea=ac
edea=dead
ca=deae
db=be
eb=bcc
cb=bded
ab=c
bdea=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
