#2211 ⟨
a
,
b
|
aabaaab
=
baa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2210
⟨
a
,
b
|
aabaaab
=
abb
⟩
Next:
#2212
⟨
a
,
b
|
aabaaab
=
bab
⟩
Properties
Presentation has sum-of-sides 10
Infinite non-commutative monoid
Complete rewriting system
Format:
Pretty
Plain
Word to reduce:
Tips:
Lowercase letters stand for generators.
Spaces are ignored.
Numbers repeat the previous letter, e.g.
b90
.
Reduction strategy:
Leftmost
Rightmost
Path to normal form:
1
1
Reduction order:
Right-to-left recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
baa=c
a
(
ac
)
2
⇒
c
a
2
a
2
cab
⇒
c
bc
⇒
c
2
ab
b
a
2
⇒
c
bac
⇒ (
ca
)
2
b
# ab:aabaaab=baa reversed:ac/b baa=c magic:0 aacac=caa aacab=c bc=ccab baa=c bac=cacab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
