#1098 ⟨
a
,
b
|
aabbba
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1097
⟨
a
,
b
|
aabbba
=
aba
⟩
Next:
#1099
⟨
a
,
b
|
aabbba
=
baa
⟩
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
) = deg(
a
) = 0,
c
<
a
; deg(
b
) = 1
Auxiliary generator:
abb=c
acbc
⇒
c
2
ba
acba
⇒
c
c
b
2
⇒
c
2
ba
a
b
2
⇒
c
# ab:aabbba=abb ca/b abb=c magic:0 acbc=ccba acba=c cbb=ccba abb=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
