#5733 ⟨
a
,
b
|
aaaa
=1,
bbbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#5731
⟨
a
,
b
|
aaaa
=1,
bbabb
=
b
⟩
Next:
#5736
⟨
a
,
b
|
aaab
=1,
aaaab
=
a
⟩
Properties
Presentation has sum-of-sides 10
Isomorphic to ℤ
4
∗ ℕ
(5 = 1)
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
4
⇒ 1
b
5
⇒
b
# ab:aaaa=1,bbbbb=b ab aaaa=1 bbbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
