#19835 ⟨
a
,
b
|
aaa
=
a
,
babb
=
aab
⟩
Up:
Monoids with two generators and two relations
Prev:
#19833
⟨
a
,
b
|
aaa
=
a
,
baab
=
bbb
⟩
Next:
#19836
⟨
a
,
b
|
aaa
=
a
,
babb
=
aba
⟩
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
a
3
⇒
a
ba
b
2
⇒
a
2
b
bab
a
2
b
⇒
a
2
b
# ab:aaa=a,babb=aab ab aaa=a babb=aab babaab=aab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
