#19803 ⟨
a
,
b
|
aaa
=
a
,
aabb
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#19802
⟨
a
,
b
|
aaa
=
a
,
aabb
=
baa
⟩
Next:
#19804
⟨
a
,
b
|
aaa
=
a
,
aabb
=
bba
⟩
Properties
Presentation has sum-of-sides 11
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 shortlex with
a
<
c
<
b
Auxiliary generator:
ab=c
ab
⇒
c
cb
⇒
c
2
a
3
⇒
a
a
2
c
⇒
c
a
c
2
⇒
bc
# ab:aaa=a,aabb=bab acb ab=c frequency:2/0 ab=c cb=cc aaa=a aac=c acc=bc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
