#2326 ⟨
a
,
b
|
ababaab
=
bab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2325
⟨
a
,
b
|
ababaab
=
baa
⟩
Next:
#2327
⟨
a
,
b
|
ababaab
=
bba
⟩
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
) = deg(
a
) = 0,
c
<
a
; deg(
b
) = 1
Auxiliary generator:
ab=c
a
c
4
⇒
c
3
ac
a
c
2
ac
⇒
c
2
bc
⇒
c
2
ac
ab
⇒
c
# ab:ababaab=bab ca/b ab=c frequency:2/0 acccc=cccac accac=cc bc=ccac ab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
