#1120 ⟨
a
,
b
|
ababab
=
baa
⟩
Up:
Monoids with two generators and one relation
Prev:
#1119
⟨
a
,
b
|
ababab
=
aba
⟩
Next:
#1121
⟨
a
,
b
|
ababba
=
aaa
⟩
Properties
Presentation has sum-of-sides 9
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:
Left-to-right recursive path with deg(
c
) = 0; deg(
a
) = 1; deg(
b
) = 2
Auxiliary generator:
ab=c
c
a
2
⇒
a
c
3
b
a
2
⇒
c
3
c
3
b
⇒
bac
ab
⇒
c
# ab:ababab=baa c/a/b ab=c frequency:2/0 caa=accc baa=ccc cccb=bac ab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
