#17652 ⟨
a
,
b
|
aaaa
=1,
ababa
=
bb
⟩
Up:
Monoids with two generators and two relations
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#17649
⟨
a
,
b
|
aaaa
=1,
abaab
=
bb
⟩
Next:
#17654
⟨
a
,
b
|
aaaa
=1,
ababb
=
ab
⟩
Properties
Presentation has sum-of-sides 11
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
4
⇒ 1
(
ab
)
2
⇒
b
2
a
3
a
3
b
2
⇒ (
ba
)
2
a
b
3
⇒
b
3
a
# ab:aaaa=1,ababa=bb a/b aaaa=1 abab=bbaaa aaabb=baba abbb=bbba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
