#25187 ⟨
a
,
b
|
aa
=
a
,
ababa
=
abb
⟩
Up:
Monoids with two generators and two relations
Prev:
#25186
⟨
a
,
b
|
aa
=
a
,
ababa
=
aba
⟩
Next:
#25188
⟨
a
,
b
|
aa
=
a
,
ababa
=
bab
⟩
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(
a
) = deg(
c
) = 0,
a
<
c
; deg(
b
) = 1
Auxiliary generator:
ab=c
a
2
⇒
a
ac
⇒
c
ab
⇒
c
cb
⇒
c
2
a
# ab:aa=a,ababa=abb ac/b ab=c frequency:2/1 aa=a ac=c ab=c cb=cca
Right Cayley graph (truncated)
Left Cayley graph (truncated)
