#8567 ⟨
a
,
b
|
ab
=
a
,
bbbbbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#8367
⟨
a
,
b
|
aa
=
a
,
bbbbbbb
=1⟩
Next:
#8606
⟨
a
,
b
|
aa
=
a
,
ababba
=
a
⟩
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 shortlex with
a
<
b
ab
⇒
a
b
7
⇒ 1
# ab:ab=a,bbbbbbb=1 ab ab=a bbbbbbb=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
