#2548 ⟨
a
,
b
|
aabbba
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2547
⟨
a
,
b
|
aabbba
=
aaaa
⟩
Next:
#2549
⟨
a
,
b
|
aabbba
=
aaba
⟩
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
a
3
b
⇒
a
2
b
3
a
# ab:aabbba=aaab reversed:b/a aaab=aabbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
