#1697 ⟨
a
,
b
|
bab
=
ab
,
bbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#1695
⟨
a
,
b
|
bab
=
aa
,
bbb
=
b
⟩
Next:
#1699
⟨
a
,
b
|
bab
=
bb
,
bbb
=
b
⟩
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 shortlex with
c
<
a
<
b
Auxiliary generator:
ab=c
ac
⇒
c
2
ab
⇒
c
bc
⇒
c
c
b
2
⇒
c
b
3
⇒
b
# ab:bab=ab,bbb=b cab ab=c frequency:2/1 ac=cc ab=c bc=c cbb=c bbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
