#17665 ⟨
a
,
b
|
aaaa
=1,
abbbb
=
ab
⟩
Up:
Monoids with two generators and two relations
Prev:
#17663
⟨
a
,
b
|
aaaa
=1,
abbba
=
bb
⟩
Next:
#17666
⟨
a
,
b
|
aaaa
=1,
abbbb
=
ba
⟩
Properties
Presentation has sum-of-sides 11
Isomorphic to ℤ
4
∗ ℕ
(4 = 1)
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
a
4
⇒ 1
b
4
⇒
b
# ab:aaaa=1,abbbb=ab ab aaaa=1 bbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
