#18748 ⟨
a
,
b
|
aaa
=
a
,
bababb
=
a
⟩
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Monoids with two generators and two relations
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#18747
⟨
a
,
b
|
aaa
=
a
,
baabbb
=
b
⟩
Next:
#18749
⟨
a
,
b
|
aaa
=
a
,
bababb
=
b
⟩
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
a
b
2
⇒
b
2
a
aba
⇒
b
a
2
a
3
⇒
a
b
4
a
⇒
a
2
# ab:aaa=a,bababb=a ba abb=bba aba=baa aaa=a bbbba=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
