#11076 ⟨
a
,
b
|
baab
=
aba
,
bbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#11074
⟨
a
,
b
|
baab
=
aab
,
bbbb
=1⟩
Next:
#11114
⟨
a
,
b
|
aaaaa
=
a
,
bbbbb
=1⟩
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
⇒ 1
b
a
2
⇒
aba
b
3
b
3
aba
⇒
a
2
b
# ab:baab=aba,bbbb=1 b/a bbbb=1 baa=ababbb bbbaba=aab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
