#18697 ⟨
a
,
b
|
aaa
=
a
,
aaabaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#18619
⟨
a
,
b
|
aba
=
b
,
aaaaabb
=1⟩
Next:
#18706
⟨
a
,
b
|
aaa
=
a
,
aababa
=
a
⟩
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
<
b
ab
⇒
b
a
3
⇒
a
b
a
2
⇒
b
# ab:aaa=a,aaabaa=b ab ab=b aaa=a baa=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
