#27767 ⟨
a
,
b
|
aa
=1,
bbbbbb
=
bbb
⟩
Up:
Monoids with two generators and two relations
Prev:
#27766
⟨
a
,
b
|
aa
=1,
bbbbbb
=
bab
⟩
Next:
#28177
⟨
a
,
b
|
aa
=1,
ababb
=
babb
⟩
Properties
Presentation has sum-of-sides 11
Isomorphic to ℤ
2
∗ ℕ
(6 = 3)
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
2
⇒ 1
b
6
⇒
b
3
# ab:aa=1,bbbbbb=bbb ab aa=1 bbbbbb=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
