#14826 ⟨
a
,
b
|
abba
=
a
,
babab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#14824
⟨
a
,
b
|
abba
=
a
,
baabb
=
b
⟩
Next:
#14832
⟨
a
,
b
|
abba
=
a
,
bbbbb
=
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
bab
⇒
b
2
b
3
⇒
b
a
b
2
a
⇒
a
# ab:abba=a,babab=b ab bab=bb bbb=b abba=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
