#18616 ⟨
a
,
b
|
aba
=
b
,
aaaaaaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#18615
⟨
a
,
b
|
aba
=
a
,
bbbbbbb
=1⟩
Next:
#18619
⟨
a
,
b
|
aba
=
b
,
aaaaabb
=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(
a
) = 0; deg(
b
) = 1
a
7
⇒ 1
ab
⇒
b
a
6
# ab:aba=b,aaaaaaa=1 a/b aaaaaaa=1 ab=baaaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
