#12484 ⟨
a
,
b
|
aabb
=
bb
,
abbb
=
a
⟩
Up:
Monoids with two generators and two relations
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#12483
⟨
a
,
b
|
aabb
=
ba
,
bbbb
=
b
⟩
Next:
#12487
⟨
a
,
b
|
aabb
=
bb
,
babb
=
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(
b
) = 0; deg(
a
) = 1
b
5
⇒
b
2
a
b
3
⇒
a
b
3
a
⇒
a
a
2
⇒
b
3
# ab:aabb=bb,abbb=a b/a bbbbb=bb abbb=a bbba=a aa=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
