#17964 ⟨
a
,
b
|
aabb
=1,
aabab
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#17687
⟨
a
,
b
|
aaaa
=1,
bbbbb
=
bb
⟩
Next:
#17965
⟨
a
,
b
|
aabb
=1,
aabab
=
ab
⟩
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
2
b
2
⇒ 1
a
(
ab
)
2
⇒
a
2
# ab:aabb=1,aabab=aa ab aabb=1 aabab=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
