#12283 ⟨
a
,
b
|
aaab
=
ba
,
baaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12280
⟨
a
,
b
|
aaab
=
ba
,
abbb
=
a
⟩
Next:
#12285
⟨
a
,
b
|
aaab
=
ba
,
baab
=
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
9
b
⇒
b
ba
⇒
a
3
b
# ab:aaab=ba,baaa=b reversed:a/b aaaaaaaaab=b ba=aaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
