#2056 ⟨
a
,
b
|
abababba
=
aa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2055
⟨
a
,
b
|
abababab
=
ba
⟩
Next:
#2057
⟨
a
,
b
|
abababba
=
ab
⟩
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
(
ab
)
3
ba
⇒
a
2
# ab:abababba=aa ab abababba=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
