#4628 ⟨
a
,
b
|
aaaa
=
a
,
babb
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#4627
⟨
a
,
b
|
aaaa
=
a
,
baab
=
b
⟩
Next:
#4629
⟨
a
,
b
|
aaaa
=
a
,
babb
=
b
⟩
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
a
b
18
⇒
a
ba
⇒
a
b
16
a
4
⇒
a
# ab:aaaa=a,babb=a b/a abbbbbbbbbbbbbbbbbb=a ba=abbbbbbbbbbbbbbbb aaaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
