#2392 ⟨
a
,
b
|
aaaaba
=
aabb
⟩
Up:
Monoids with two generators and one relation
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#2391
⟨
a
,
b
|
aaaaba
=
aaba
⟩
Next:
#2393
⟨
a
,
b
|
aaaaba
=
abaa
⟩
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
2
b
2
⇒
a
4
ba
# ab:aaaaba=aabb a/b aabb=aaaaba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
