#2556 ⟨
a
,
b
|
aabbba
=
baab
⟩
Up:
Monoids with two generators and one relation
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#2555
⟨
a
,
b
|
aabbba
=
baaa
⟩
Next:
#2557
⟨
a
,
b
|
aabbba
=
baba
⟩
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 recursive path with deg(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
aa=c
ca
⇒
ac
bcba
⇒
c
b
3
c
c
b
3
a
⇒
bcb
a
2
⇒
c
# ab:aabbba=baab bc/a aa=c frequency:2/3 ca=ac bcba=cbbbc cbbba=bcb aa=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
