#59 ⟨
a
,
b
|
aaabab
=1⟩
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Monoids with two generators and one relation
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#57
⟨
a
,
b
|
aaaabb
=1⟩
Next:
#60
⟨
a
,
b
|
aaabba
=1⟩
Properties
Presentation has sum-of-sides 6
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
a
3
bab
⇒ 1
# ab:aaabab=1 ab aaabab=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
