#18022 ⟨
a
,
b
|
abab
=1,
aaabb
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#18020
⟨
a
,
b
|
abab
=1,
aaabb
=
aa
⟩
Next:
#18023
⟨
a
,
b
|
abab
=1,
aaabb
=
bb
⟩
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
)
2
⇒ 1
a
3
b
2
⇒
ba
# ab:abab=1,aaabb=ba ab abab=1 aaabb=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
