#2367 ⟨
a
,
b
|
aaaaaa
=
abab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2366
⟨
a
,
b
|
aaaaaa
=
aabb
⟩
Next:
#2368
⟨
a
,
b
|
aaaaaa
=
abba
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
7
b
⇒
ab
a
6
(
ab
)
2
⇒
a
6
# ab:aaaaaa=abab a/b aaaaaaab=abaaaaaa abab=aaaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
