#1369 ⟨
a
,
b
|
aaabbaabab
=1⟩
Up:
Monoids with two generators and one relation
Prev:
#1367
⟨
a
,
b
|
aaabbaaabb
=1⟩
Next:
#1370
⟨
a
,
b
|
aaabbaabba
=1⟩
Properties
Presentation has sum-of-sides 10
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
a
(
ab
)
2
⇒ 1
# ab:aaabbaabab=1 ab aaabbaabab=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
