#927 ⟨
a
,
b
|
aabaaab
=
ba
⟩
Up:
Monoids with two generators and one relation
Prev:
#926
⟨
a
,
b
|
aabaaab
=
ab
⟩
Next:
#928
⟨
a
,
b
|
aabaaab
=
bb
⟩
Properties
Presentation has sum-of-sides 9
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:
Right-to-left recursive path with deg(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
aab=c
a
(
ac
)
2
⇒
ca
a
2
b
⇒
c
ba
⇒
cac
bc
⇒ (
ca
)
2
b
# ab:aabaaab=ba reversed:ac/b aab=c frequency:3/0 aacac=ca aab=c ba=cac bc=cacab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
