#2604 ⟨
a
,
b
|
ababba
=
abab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2603
⟨
a
,
b
|
ababba
=
abaa
⟩
Next:
#2605
⟨
a
,
b
|
ababba
=
abba
⟩
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:
ababb=c
cb
⇒
c
2
cab
⇒
c
c
2
a
⇒
c
(
ab
)
2
⇒
ca
c
a
2
b
⇒
abca
# ab:ababba=abab acb ababb=c frequency:5/0 cb=cc cab=c cca=c abab=ca caab=abca
Right Cayley graph (truncated)
Left Cayley graph (truncated)
