#6624 ⟨
a
,
b
|
aab
=
a
,
abba
=
ba
⟩
Up:
Monoids with two generators and two relations
Prev:
#6619
⟨
a
,
b
|
aab
=
a
,
abab
=
ab
⟩
Next:
#6629
⟨
a
,
b
|
aab
=
a
,
abbb
=
bb
⟩
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
c
<
b
<
a
Auxiliary generator:
bba=c
bc
⇒
c
2
ac
⇒
ba
cab
⇒
c
b
2
a
⇒
c
a
2
b
⇒
a
# ab:aab=a,abba=ba cba bba=c frequency:3/1 bc=cc ac=ba cab=c bba=c aab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
