#628 ⟨
a
,
b
|
aaabaaabb
=1⟩
Up:
Monoids with two generators and one relation
Prev:
#625
⟨
a
,
b
|
aaaabbbba
=1⟩
Next:
#630
⟨
a
,
b
|
aaabaabab
=1⟩
Properties
Presentation has sum-of-sides 9
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
b
)
2
b
⇒ 1
# ab:aaabaaabb=1 ab aaabaaabb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
