#402 ⟨
a
,
b
|
ababaab
=
b
⟩
Up:
Monoids with two generators and one relation
Prev:
#401
⟨
a
,
b
|
ababaab
=
a
⟩
Next:
#403
⟨
a
,
b
|
abababa
=
a
⟩
Properties
Presentation has sum-of-sides 8
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
3
⇒
c
2
ac
a
c
2
ac
⇒
c
b
⇒
c
2
ac
# ab:ababaab=b ca/b ab=c frequency:2/0 accc=ccac accac=c b=ccac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
