#2246 ⟨
a
,
b
|
aababba
=
aab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2245
⟨
a
,
b
|
aababba
=
aaa
⟩
Next:
#2247
⟨
a
,
b
|
aababba
=
aba
⟩
Properties
Presentation has sum-of-sides 10
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(
c
) = 0; deg(
b
) = deg(
a
) = 1,
b
<
a
Auxiliary generator:
aaba=c
cba
⇒
c
b
2
c
c
b
2
a
⇒
a
2
b
caba
⇒
a
2
bc
a
2
ba
⇒
c
# ab:aababba=aab reversed:c/ba aaba=c frequency:4/1 cba=cbbc cbba=aab caba=aabc aaba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
