#12280 ⟨
a
,
b
|
aaab
=
ba
,
abbb
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#12275
⟨
a
,
b
|
aaab
=
ba
,
abaa
=
b
⟩
Next:
#12283
⟨
a
,
b
|
aaab
=
ba
,
baaa
=
b
⟩
Properties
Presentation has sum-of-sides 11
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:
Right-to-left recursive path with deg(
a
) = 0; deg(
b
) = 1
a
28
⇒
a
2
ba
⇒
a
3
b
a
b
3
⇒
a
# ab:aaab=ba,abbb=a reversed:a/b aaaaaaaaaaaaaaaaaaaaaaaaaaaa=aa ba=aaab abbb=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
