#19160 ⟨
a
,
b
|
aba
=
b
,
aaaaaa
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#19159
⟨
a
,
b
|
aba
=
a
,
bbbbbb
=
b
⟩
Next:
#19163
⟨
a
,
b
|
aba
=
b
,
aaaaab
=
b
⟩
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
6
⇒
a
b
a
5
⇒
b
ab
⇒
b
a
4
# ab:aba=b,aaaaaa=a a/b aaaaaa=a baaaaa=b ab=baaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
