#2591 ⟨
a
,
b
|
ababab
=
aaba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2590
⟨
a
,
b
|
ababab
=
aaab
⟩
Next:
#2592
⟨
a
,
b
|
ababab
=
aabb
⟩
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:
Left-to-right recursive path with deg(
c
) = 0; deg(
a
) = deg(
b
) = 1,
a
<
b
Auxiliary generator:
ab=c
c
4
a
⇒
a
c
4
c
3
b
⇒
a
c
2
aca
⇒
c
3
ab
⇒
c
# ab:ababab=aaba c/ab ab=c frequency:2/0 cccca=acccc cccb=acc aca=ccc ab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
