#2767 ⟨
a
,
b
|
babab
=
ababa
⟩
Up:
Monoids with two generators and one relation
Prev:
#2766
⟨
a
,
b
|
babab
=
aabaa
⟩
Next:
#2768
⟨
a
,
b
|
babbb
=
aaaaa
⟩
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
<
b
<
c
Auxiliary generator:
ababa=c
ca
⇒
bc
cb
⇒
ac
a
(
ba
)
2
⇒
c
b
(
ab
)
2
⇒
c
# ab:babab=ababa abc ababa=c magic:0 ca=bc cb=ac ababa=c babab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
