#595 ⟨
a
,
b
|
aaaaaaaaa
=1⟩
Up:
Monoids with two generators and one relation
Prev:
#594
⟨
a
,
b
|
bbbb
=
aaaa
⟩
Next:
#596
⟨
a
,
b
|
aaaaaaaab
=1⟩
Properties
Presentation has sum-of-sides 9
Isomorphic to ℤ
9
∗ 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
9
⇒ 1
# ab:aaaaaaaaa=1 ab aaaaaaaaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
