#13243 ⟨
a
,
b
|
baa
=
abb
,
bbb
=
bb
⟩
Up:
Monoids with two generators and two relations
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#13242
⟨
a
,
b
|
baa
=
abb
,
bbb
=
ba
⟩
Next:
#13244
⟨
a
,
b
|
bab
=
aaa
,
bba
=
aa
⟩
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
c
<
a
<
b
Auxiliary generator:
bb=c
c
2
⇒
c
cb
⇒
c
bc
⇒
c
b
2
⇒
c
c
a
2
⇒
cac
bac
⇒
cac
b
a
2
⇒
ac
# ab:baa=abb,bbb=bb cab bb=c frequency:2/0 cc=c cb=c bc=c bb=c caa=cac bac=cac baa=ac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
