#2487 ⟨
a
,
b
|
aabaab
=
baaa
⟩
Up:
Monoids with two generators and one relation
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#2486
⟨
a
,
b
|
aabaab
=
abbb
⟩
Next:
#2488
⟨
a
,
b
|
aabaab
=
baab
⟩
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
<
c
Auxiliary generator:
aab=c
a
2
b
⇒
c
c
2
b
⇒
bac
b
a
3
⇒
c
2
c
a
3
⇒
a
2
c
2
c
2
ab
⇒
b
a
2
c
# ab:aabaab=baaa bac aab=c frequency:3/0 aab=c ccb=bac baaa=cc caaa=aacc ccab=baac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
