#5717 ⟨
a
,
b
|
aaaa
=1,
abbab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#5715
⟨
a
,
b
|
aaaa
=1,
ababb
=
b
⟩
Next:
#5722
⟨
a
,
b
|
aaaa
=1,
baaab
=
a
⟩
Properties
Presentation has sum-of-sides 10
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(
b
) = 0; deg(
a
) = 1
b
5
⇒
b
b
2
ab
⇒
a
b
3
a
2
b
⇒
b
3
a
4
⇒ 1
# ab:aaaa=1,abbab=b b/a bbbbb=b bbab=abbb aab=bbb aaaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
