#22863 ⟨
a
,
b
|
aaa
=1,
bbbbb
=
bbb
⟩
Up:
Monoids with two generators and two relations
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#22862
⟨
a
,
b
|
aaa
=1,
bbbbb
=
bab
⟩
Next:
#23300
⟨
a
,
b
|
aaa
=1,
baab
=
abbb
⟩
Properties
Presentation has sum-of-sides 11
Isomorphic to ℤ
3
∗ ℕ
(5 = 3)
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
5
⇒
b
3
# ab:aaa=1,bbbbb=bbb ab aaa=1 bbbbb=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
