#6750 ⟨
a
,
b
|
aba
=
a
,
abbb
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#6749
⟨
a
,
b
|
aba
=
a
,
abbb
=
ab
⟩
Next:
#6751
⟨
a
,
b
|
aba
=
a
,
abbb
=
bb
⟩
Properties
Presentation has sum-of-sides 10
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
ba
⇒
a
2
a
3
⇒
a
a
b
3
⇒
a
2
# ab:aba=a,abbb=ba ab ba=aa aaa=a abbb=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
