#10846 ⟨
a
,
b
|
aaba
=
baa
,
bbbb
=1⟩
Up:
Monoids with two generators and two relations
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#10833
⟨
a
,
b
|
aaba
=
abb
,
bbbb
=1⟩
Next:
#10859
⟨
a
,
b
|
aaba
=
bab
,
bbbb
=1⟩
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(
a
) = 0; deg(
b
) = 1
a
18
⇒
a
3
b
a
2
⇒
a
2
ba
b
4
⇒ 1
a
2
(
ba
)
4
⇒
a
2
# ab:aaba=baa,bbbb=1 reversed:a/b aaaaaaaaaaaaaaaaaa=aaa baa=aaba bbbb=1 aababababa=aa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
