#11281 ⟨
a
,
b
|
aaabb
=
b
,
aabab
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#11259
⟨
a
,
b
|
aaabb
=
a
,
ababb
=1⟩
Next:
#11287
⟨
a
,
b
|
aaabb
=
b
,
ababb
=1⟩
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
b
2
⇒
b
a
(
ab
)
2
⇒ 1
# ab:aaabb=b,aabab=1 ab aaabb=b aabab=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
