#74 ⟨
a
,
b
|
aaaaa
=
a
⟩
Up:
Monoids with two generators and one relation
Prev:
#73
⟨
a
,
b
|
abbbba
=1⟩
Next:
#76
⟨
a
,
b
|
aaaab
=
a
⟩
Properties
Presentation has sum-of-sides 6
Isomorphic to ℕ
(5 = 1)
∗ ℕ
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 shortlex with
a
<
b
a
5
⇒
a
# ab:aaaaa=a ab aaaaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
