#5189 ⟨
a
,
b
|
aab
=
ba
,
bbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#5186
⟨
a
,
b
|
aab
=
ba
,
bbba
=
a
⟩
Next:
#5191
⟨
a
,
b
|
aab
=
bb
,
aaaa
=
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:
Right-to-left recursive path with deg(
a
) = 0; deg(
b
) = 1
a
16
b
⇒
a
2
b
ba
⇒
a
2
b
b
4
⇒
b
# ab:aab=ba,bbbb=b reversed:a/b aaaaaaaaaaaaaaaab=aab ba=aab bbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
