#12047 ⟨
a
,
b
|
abab
=
ab
,
aaabb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#12043
⟨
a
,
b
|
abab
=
aa
,
bbbbb
=1⟩
Next:
#12095
⟨
a
,
b
|
abba
=
aa
,
bbbbb
=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
(
ab
)
2
⇒
ab
a
3
b
2
⇒ 1
# ab:abab=ab,aaabb=1 ab abab=ab aaabb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
