#2321 ⟨
a
,
b
|
ababaab
=
aaa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2320
⟨
a
,
b
|
abaabba
=
bbb
⟩
Next:
#2322
⟨
a
,
b
|
ababaab
=
aab
⟩
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
b
<
a
(
ab
)
2
a
2
b
⇒
a
3
a
4
b
a
2
b
⇒ (
ab
)
2
a
4
# ab:ababaab=aaa ba ababaab=aaa aaaabaab=ababaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
