#16544 ⟨
a
,
b
|
aba
=
ba
,
baa
=
aba
⟩
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Monoids with two generators and two relations
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#16543
⟨
a
,
b
|
aba
=
ab
,
bbb
=
aba
⟩
Next:
#16545
⟨
a
,
b
|
aba
=
bb
,
abb
=
aaa
⟩
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
a
<
c
<
b
Auxiliary generator:
ba=c
ac
⇒
c
ca
⇒
c
ba
⇒
c
bc
⇒
c
2
# ab:aba=ba,baa=aba acb ba=c frequency:2/1 ac=c ca=c ba=c bc=cc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
