#2557 ⟨
a
,
b
|
aabbba
=
baba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2556
⟨
a
,
b
|
aabbba
=
baab
⟩
Next:
#2558
⟨
a
,
b
|
aabbba
=
babb
⟩
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
a
<
c
<
b
Auxiliary generator:
bbb=c
bc
⇒
cb
b
3
⇒
c
(
ba
)
2
⇒
a
2
ca
b
a
3
ca
⇒
a
2
caba
b
2
a
2
ca
⇒
caba
# ab:aabbba=baba acb bbb=c frequency:3/2 bc=cb bbb=c baba=aaca baaaca=aacaba bbaaca=caba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
