#16540 ⟨
a
,
b
|
aba
=
ab
,
bba
=
aaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#16536
⟨
a
,
b
|
aba
=
ab
,
baa
=
aab
⟩
Next:
#16543
⟨
a
,
b
|
aba
=
ab
,
bbb
=
aba
⟩
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
a
5
⇒
a
4
aba
⇒
ab
a
2
b
⇒
ab
b
2
a
⇒
a
3
a
b
2
⇒
a
4
# ab:aba=ab,bba=aaa a/b aaaaa=aaaa aba=ab aab=ab bba=aaa abb=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
