#15690 ⟨
a
,
b
|
aab
=
ba
,
abaaa
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#15673
⟨
a
,
b
|
aab
=
ba
,
aaaaa
=
a
⟩
Next:
#15696
⟨
a
,
b
|
aab
=
ba
,
ababb
=
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:
Left-to-right recursive path with deg(
a
) = 0; deg(
b
) = 1
b
a
7
⇒
b
ab
⇒
b
a
4
# ab:aab=ba,abaaa=b a/b baaaaaaa=b ab=baaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
