#13162 ⟨
a
,
b
|
aba
=
aab
,
baa
=
aa
⟩
Up:
Monoids with two generators and two relations
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#13161
⟨
a
,
b
|
aba
=
aab
,
abb
=
bb
⟩
Next:
#13163
⟨
a
,
b
|
aba
=
aab
,
baa
=
ab
⟩
Properties
Presentation has sum-of-sides 11
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
b
a
2
⇒
a
2
a
2
b
⇒
aba
(
ba
)
2
⇒
aba
# ab:aba=aab,baa=aa ba baa=aa aab=aba baba=aba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
