#1143 ⟨
a
,
b
|
aaaaa
=
abab
⟩
Up:
Monoids with two generators and one relation
Prev:
#1142
⟨
a
,
b
|
aaaaa
=
aabb
⟩
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#1144
⟨
a
,
b
|
aaaaa
=
abba
⟩
Properties
Presentation has sum-of-sides 9
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
6
b
⇒
ab
a
5
(
ab
)
2
⇒
a
5
# ab:aaaaa=abab a/b aaaaaab=abaaaaa abab=aaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
