#6746 ⟨
a
,
b
|
aba
=
a
,
abba
=
ab
⟩
Up:
Monoids with two generators and two relations
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#6745
⟨
a
,
b
|
aba
=
a
,
abba
=
aa
⟩
Next:
#6747
⟨
a
,
b
|
aba
=
a
,
abba
=
bb
⟩
Properties
Presentation has sum-of-sides 10
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
c
<
a
<
b
Auxiliary generator:
abb=c
cb
⇒
c
2
ab
⇒
ca
c
2
a
⇒
c
cac
⇒
c
c
a
2
⇒
a
# ab:aba=a,abba=ab cab abb=c frequency:3/1 cb=cc ab=ca cca=c cac=c caa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
