#6821 ⟨
a
,
b
|
aab
=
b
,
bab
=
aaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#6818
⟨
a
,
b
|
aab
=
b
,
abb
=
aaa
⟩
Next:
#6824
⟨
a
,
b
|
aab
=
b
,
bbb
=
aaa
⟩
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
⇒
b
b
a
2
⇒
b
bab
⇒
a
3
a
5
⇒
a
3
# ab:aab=b,bab=aaa ab aab=b baa=b bab=aaa aaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
