#14729 ⟨
a
,
b
|
abab
=
a
,
aaaaa
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#14728
⟨
a
,
b
|
aabb
=
a
,
bbbbb
=
b
⟩
Next:
#14789
⟨
a
,
b
|
abab
=
a
,
bbbba
=
a
⟩
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
5
⇒
a
aba
⇒
a
2
b
a
b
2
⇒
a
4
# ab:abab=a,aaaaa=a reversed:a/b aaaaa=a aba=aab abb=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
