#21791 ⟨
a
,
b
|
aaa
=1,
bbbbbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#21788
⟨
a
,
b
|
aaa
=1,
bbbabbb
=
a
⟩
Next:
#22264
⟨
a
,
b
|
aaa
=1,
ababab
=
bb
⟩
Properties
Presentation has sum-of-sides 11
Isomorphic to ℤ
3
∗ ℕ
(7 = 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
3
⇒ 1
b
7
⇒
b
# ab:aaa=1,bbbbbbb=b ab aaa=1 bbbbbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
