#13137 ⟨
a
,
b
|
aab
=
aaa
,
bba
=
ab
⟩
Up:
Monoids with two generators and two relations
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#13136
⟨
a
,
b
|
aab
=
aaa
,
bba
=
aa
⟩
Next:
#13138
⟨
a
,
b
|
aab
=
aaa
,
bba
=
ba
⟩
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
ab
⇒
b
2
a
b
12
a
2
⇒
b
8
a
2
a
3
⇒
b
4
a
2
# ab:aab=aaa,bba=ab reversed:b/a ab=bba bbbbbbbbbbbbaa=bbbbbbbbaa aaa=bbbbaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
