#16055 ⟨
a
,
b
|
aaa
=
bb
,
aaba
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16053
⟨
a
,
b
|
aaa
=
bb
,
aaba
=
ab
⟩
Next:
#16056
⟨
a
,
b
|
aaa
=
bb
,
aabb
=
aa
⟩
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
7
⇒
a
4
a
4
b
⇒
a
4
a
2
ba
⇒
a
3
b
a
3
⇒
a
3
b
b
2
⇒
a
3
# ab:aaa=bb,aaba=bb reversed:a/b aaaaaaa=aaaa aaaab=aaaa aaba=aaa baaa=aaab bb=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
