#2330 ⟨
a
,
b
|
abababa
=
aab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2329
⟨
a
,
b
|
abababa
=
aaa
⟩
Next:
#2331
⟨
a
,
b
|
abababa
=
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(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
ab=c
ab
⇒
c
ac
⇒
c
3
a
# ab:abababa=aab reversed:bc/a ab=c frequency:2/0 ab=c ac=ccca
Right Cayley graph (truncated)
Left Cayley graph (truncated)
