#17135 ⟨
a
,
b
|
aaaa
=1,
abbbab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#17127
⟨
a
,
b
|
aaaa
=1,
ababba
=
b
⟩
Next:
#17137
⟨
a
,
b
|
aaaa
=1,
abbbba
=
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
7
⇒
b
b
3
ab
⇒
a
b
4
a
2
b
⇒
b
4
a
4
⇒ 1
# ab:aaaa=1,abbbab=b b/a bbbbbbb=b bbbab=abbbb aab=bbbb aaaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
