#19287 ⟨
a
,
b
|
aaa
=
a
,
baabb
=
aa
⟩
Up:
Monoids with two generators and two relations
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#19286
⟨
a
,
b
|
aaa
=
a
,
baaab
=
bb
⟩
Next:
#19288
⟨
a
,
b
|
aaa
=
a
,
baabb
=
ab
⟩
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(
b
) = 0; deg(
a
) = 1
a
b
6
⇒
a
b
3
a
⇒
a
b
a
2
⇒
a
2
b
4
a
3
⇒
a
a
2
ba
⇒
ba
a
2
b
2
a
⇒
b
2
a
# ab:aaa=a,baabb=aa b/a abbbbbb=a bbba=a baa=aabbbb aaa=a aaba=ba aabba=bba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
