#5158 ⟨
a
,
b
|
aab
=
ba
,
aaaa
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#5157
⟨
a
,
b
|
aab
=
ab
,
bbbb
=
b
⟩
Next:
#5167
⟨
a
,
b
|
aab
=
ba
,
abaa
=
b
⟩
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
4
⇒
a
ab
⇒
b
a
2
# ab:aab=ba,aaaa=a a/b aaaa=a ab=baa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
