#20241 ⟨
a
,
b
|
aba
=
a
,
babb
=
bbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#20240
⟨
a
,
b
|
aba
=
a
,
babb
=
bba
⟩
Next:
#20242
⟨
a
,
b
|
aba
=
a
,
bbbb
=
aaa
⟩
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
aba
⇒
a
a
b
3
⇒
a
b
2
ba
b
2
⇒
b
3
b
4
⇒
b
3
# ab:aba=a,babb=bbb ab aba=a abbb=abb babb=bbb bbbb=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
