#4011 ⟨
a
,
b
|
aab
=
aaa
,
bbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#3991
⟨
a
,
b
|
baba
=
ba
,
bbaa
=1⟩
Next:
#4021
⟨
a
,
b
|
aba
=
aaa
,
bbbb
=1⟩
Properties
Presentation has sum-of-sides 10
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
b
⇒
a
3
b
4
⇒ 1
a
6
⇒
a
2
# ab:aab=aaa,bbbb=1 ab aab=aaa bbbb=1 aaaaaa=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
