#22833 ⟨
a
,
b
|
aaa
=1,
baabb
=
abb
⟩
Up:
Monoids with two generators and two relations
Prev:
#22823
⟨
a
,
b
|
aaa
=1,
abbbb
=
bbb
⟩
Next:
#22835
⟨
a
,
b
|
aaa
=1,
baabb
=
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
) = 0; deg(
c
) = deg(
b
) = 1,
c
<
b
Auxiliary generator:
bb=c
a
3
⇒ 1
bc
⇒
cb
bac
⇒
c
a
2
c
b
a
2
c
⇒
ac
b
2
⇒
c
# ab:aaa=1,baabb=abb a/cb bb=c frequency:2/2 aaa=1 bc=cb bac=caac baac=ac bb=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
