#19301 ⟨
a
,
b
|
aaa
=
a
,
bbbbb
=
aa
⟩
Up:
Monoids with two generators and two relations
Prev:
#19300
⟨
a
,
b
|
aaa
=
a
,
bbabb
=
bb
⟩
Next:
#19302
⟨
a
,
b
|
aaa
=
a
,
bbbbb
=
ab
⟩
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(
b
) = 0; deg(
a
) = 1
b
10
⇒
b
5
a
b
5
⇒
a
b
5
a
⇒
a
a
2
⇒
b
5
# ab:aaa=a,bbbbb=aa b/a bbbbbbbbbb=bbbbb abbbbb=a bbbbba=a aa=bbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
