#19292 ⟨
a
,
b
|
aaa
=
a
,
babab
=
ab
⟩
Up:
Monoids with two generators and two relations
Prev:
#19290
⟨
a
,
b
|
aaa
=
a
,
baabb
=
bb
⟩
Next:
#19293
⟨
a
,
b
|
aaa
=
a
,
babab
=
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
b
<
a
a
3
⇒
a
b
2
ab
⇒
a
2
b
(
ab
)
2
⇒
b
a
2
b
b
2
a
2
b
⇒
ab
ab
a
2
b
⇒
bab
# ab:aaa=a,babab=ab ba aaa=a bbab=aab abab=baab bbaab=ab abaab=bab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
