#6832 ⟨
a
,
b
|
aba
=
a
,
bbb
=
aaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#6828
⟨
a
,
b
|
aba
=
a
,
baa
=
aab
⟩
Next:
#6834
⟨
a
,
b
|
aba
=
b
,
abb
=
aaa
⟩
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
9
⇒
a
3
b
a
3
⇒
a
8
aba
⇒
a
a
3
b
⇒
a
8
b
3
⇒
a
3
# ab:aba=a,bbb=aaa a/b aaaaaaaaa=aaa baaa=aaaaaaaa aba=a aaab=aaaaaaaa bbb=aaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
