#2592 ⟨
a
,
b
|
ababab
=
aabb
⟩
Up:
Monoids with two generators and one relation
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#2591
⟨
a
,
b
|
ababab
=
aaba
⟩
Next:
#2593
⟨
a
,
b
|
ababab
=
abaa
⟩
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
a
2
b
2
⇒
a
2
b
2
ab
(
ab
)
3
⇒
a
2
b
2
# ab:ababab=aabb ab abaabb=aabbab ababab=aabb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
