#11915 ⟨
a
,
b
|
aaba
=
ba
,
bbbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#11851
⟨
a
,
b
|
aaba
=
aa
,
bbbbb
=1⟩
Next:
#11953
⟨
a
,
b
|
aabb
=
aa
,
aabab
=1⟩
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
a
2
ba
⇒
ba
a
2
b
2
a
⇒
b
2
a
b
5
⇒ 1
a
2
b
3
a
⇒
b
3
a
a
2
b
4
a
⇒
b
4
a
# ab:aaba=ba,bbbbb=1 ab aaa=a aaba=ba aabba=bba bbbbb=1 aabbba=bbba aabbbba=bbbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
