#414 ⟨
a
,
b
|
aaaaaa
=
ab
⟩
Up:
Monoids with two generators and one relation
Prev:
#413
⟨
a
,
b
|
aaaaaa
=
aa
⟩
Next:
#415
⟨
a
,
b
|
aaaaaa
=
bb
⟩
Properties
Presentation has sum-of-sides 8
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
ab
⇒
a
6
# ab:aaaaaa=ab a/b ab=aaaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
