#1353 ⟨
a
,
b
|
aaababaabb
=1⟩
Up:
Monoids with two generators and one relation
Prev:
#1352
⟨
a
,
b
|
aaababaaba
=1⟩
Next:
#1355
⟨
a
,
b
|
aaabababab
=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
bab
a
2
b
2
⇒ 1
# ab:aaababaabb=1 ab aaababaabb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
