#13544 ⟨
a
,
b
|
aabab
=1,
aaabbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#13540
⟨
a
,
b
|
aabab
=1,
aaaabb
=1⟩
Next:
#13550
⟨
a
,
b
|
aabab
=1,
aabbab
=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
(
ab
)
2
⇒ 1
a
3
b
3
⇒ 1
# ab:aabab=1,aaabbb=1 ab aabab=1 aaabbb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
