#2505 ⟨
a
,
b
|
aababa
=
baba
⟩
Up:
Monoids with two generators and one relation
Prev:
#2504
⟨
a
,
b
|
aababa
=
baab
⟩
Next:
#2506
⟨
a
,
b
|
aababa
=
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:
baba=c
a
2
c
⇒
c
bac
⇒
cba
(
ba
)
2
⇒
c
babc
⇒
cac
# ab:aababa=baba acb baba=c magic:0 aac=c bac=cba baba=c babc=cac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
