#2481 ⟨
a
,
b
|
aabaab
=
aaba
⟩
Up:
Monoids with two generators and one relation
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#2480
⟨
a
,
b
|
aabaab
=
aaab
⟩
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#2482
⟨
a
,
b
|
aabaab
=
aabb
⟩
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
c
<
a
<
b
Auxiliary generator:
aaba=c
c
2
b
⇒
ca
cac
⇒
c
2
a
c
a
2
⇒
c
2
cab
⇒
c
a
2
bc
⇒
ca
a
2
ba
⇒
c
# ab:aabaab=aaba cab aaba=c magic:0 ccb=ca cac=cca caa=cc cab=c aabc=ca aaba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
