#12902 ⟨
a
,
b
|
aab
=
aaa
,
babb
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#12897
⟨
a
,
b
|
aab
=
aaa
,
baaa
=
b
⟩
Next:
#12903
⟨
a
,
b
|
aab
=
aaa
,
babb
=
b
⟩
Properties
Presentation has sum-of-sides 11
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
a
2
⇒
a
3
(
ba
)
2
⇒
a
4
ba
b
2
⇒
a
a
6
⇒
a
3
# ab:aab=aaa,babb=a ab aab=aaa baa=aaa baba=aaaa babb=a aaaaaa=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
