#1268 ⟨
a
,
b
|
abbba
=
aabb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1267
⟨
a
,
b
|
abbba
=
aaba
⟩
Next:
#1269
⟨
a
,
b
|
abbba
=
abab
⟩
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
a
2
b
2
⇒
a
b
3
a
# ab:abbba=aabb reversed:b/a aabb=abbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
