#19299 ⟨
a
,
b
|
aaa
=
a
,
bbabb
=
ab
⟩
Up:
Monoids with two generators and two relations
Prev:
#19297
⟨
a
,
b
|
aaa
=
a
,
babbb
=
bb
⟩
Next:
#19300
⟨
a
,
b
|
aaa
=
a
,
bbabb
=
bb
⟩
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
3
⇒
a
(
ab
)
2
⇒
a
2
b
2
b
2
ab
⇒
a
b
3
ab
a
2
b
⇒
a
b
2
a
b
4
⇒
ab
b
2
a
2
b
⇒
a
2
b
3
# ab:aaa=a,bbabb=ab ab aaa=a abab=aabb bbab=abbb abaab=abb abbbb=ab bbaab=aabbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
