#12429 ⟨
a
,
b
|
aaba
=
bb
,
bbbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12421
⟨
a
,
b
|
aaba
=
bb
,
babb
=
b
⟩
Next:
#12430
⟨
a
,
b
|
aabb
=
aa
,
abaa
=
a
⟩
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:
Right-to-left recursive path with deg(
a
) = 0; deg(
b
) = 1
a
18
b
⇒
b
ba
⇒
a
10
b
b
2
⇒
a
12
b
# ab:aaba=bb,bbbb=b reversed:a/b aaaaaaaaaaaaaaaaaab=b ba=aaaaaaaaaab bb=aaaaaaaaaaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
