#568 ⟨
a
,
b
|
abab
=
aaba
⟩
Up:
Monoids with two generators and one relation
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#567
⟨
a
,
b
|
abab
=
aaab
⟩
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#569
⟨
a
,
b
|
abab
=
aabb
⟩
Properties
Presentation has sum-of-sides 8
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
<
c
Auxiliary generator:
ab=c
ab
⇒
c
aca
⇒
c
2
c
2
b
⇒
a
c
2
c
3
a
⇒
a
c
3
# ab:abab=aaba abc ab=c frequency:2/0 ab=c aca=cc ccb=acc ccca=accc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
