#2055 ⟨
a
,
b
|
abababab
=
ba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2054
⟨
a
,
b
|
abababab
=
ab
⟩
Next:
#2056
⟨
a
,
b
|
abababba
=
aa
⟩
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(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
ba=c
c
4
b
⇒
bc
a
c
3
b
⇒
c
ba
⇒
c
ca
⇒
a
c
4
# ab:abababab=ba bc/a ba=c magic:0 ccccb=bc acccb=c ba=c ca=acccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
