#5299 ⟨
a
,
b
|
aaa
=
aa
,
aba
=
ab
⟩
Up:
Monoids with two generators and two relations
Prev:
#5298
⟨
a
,
b
|
aaa
=
aa
,
aba
=
aa
⟩
Next:
#5300
⟨
a
,
b
|
aaa
=
aa
,
aba
=
bb
⟩
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:
Left-to-right shortlex with
a
<
c
<
b
Auxiliary generator:
ab=c
ab
⇒
c
ca
⇒
c
cb
⇒
c
2
a
3
⇒
a
2
a
2
c
⇒
ac
# ab:aaa=aa,aba=ab acb ab=c frequency:2/1 ab=c ca=c cb=cc aaa=aa aac=ac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
