#12323 ⟨
a
,
b
|
aaab
=
bb
,
bbba
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#12322
⟨
a
,
b
|
aaab
=
bb
,
bbba
=
a
⟩
Next:
#12324
⟨
a
,
b
|
aaab
=
bb
,
bbbb
=
a
⟩
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
8
⇒
b
ba
⇒
b
6
a
3
b
⇒
b
2
# ab:aaab=bb,bbba=b b/a bbbbbbbb=b ba=bbbbbb aaab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
