#23651 ⟨
a
,
b
|
aa
=
a
,
bbbbbbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#23392
⟨
a
,
b
|
aab
=1,
babb
=
abbb
⟩
Next:
#24043
⟨
a
,
b
|
ab
=
a
,
bbbbbbbb
=1⟩
Properties
Presentation has sum-of-sides 11
Isomorphic to ℕ
(2 = 1)
∗ ℤ
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 shortlex with
a
<
b
a
2
⇒
a
b
8
⇒ 1
# ab:aa=a,bbbbbbbb=1 ab aa=a bbbbbbbb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
