#25188 ⟨
a
,
b
|
aa
=
a
,
ababa
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#25187
⟨
a
,
b
|
aa
=
a
,
ababa
=
abb
⟩
Next:
#25189
⟨
a
,
b
|
aa
=
a
,
ababa
=
bbb
⟩
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 shortlex with
a
<
c
<
b
Auxiliary generator:
ba=c
a
2
⇒
a
ca
⇒
c
cb
⇒
c
2
ba
⇒
c
a
c
2
⇒
c
2
b
c
2
⇒
c
3
# ab:aa=a,ababa=bab acb ba=c frequency:2/0 aa=a ca=c cb=cc ba=c acc=cc bcc=ccc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
