#22793 ⟨
a
,
b
|
aaa
=1,
ababa
=
bbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#22787
⟨
a
,
b
|
aaa
=1,
abaab
=
bbb
⟩
Next:
#22799
⟨
a
,
b
|
aaa
=1,
ababb
=
bab
⟩
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(
b
) = 0; deg(
a
) = 1
b
4
a
⇒
a
b
4
(
ba
)
2
⇒
a
2
b
3
b
3
a
2
⇒ (
ab
)
2
a
3
⇒ 1
# ab:aaa=1,ababa=bbb b/a bbbba=abbbb baba=aabbb bbbaa=abab aaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
