#792 ⟨
a
,
b
|
aabaaaba
=
b
⟩
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Monoids with two generators and one relation
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#791
⟨
a
,
b
|
aabaaaba
=
a
⟩
Next:
#793
⟨
a
,
b
|
aabaaabb
=
a
⟩
Properties
Presentation has sum-of-sides 9
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
a
(
ab
)
2
⇒
b
a
2
ba
a
2
b
a
3
b
2
⇒
bab
a
3
ba
(
a
2
ba
)
2
⇒
b
# ab:aabaaaba=b ba aabab=baaba aabaaabb=babaaaba aabaaaba=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
