#18756 ⟨
a
,
b
|
aaa
=
a
,
bbabbb
=
a
⟩
Up:
Monoids with two generators and two relations
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#18755
⟨
a
,
b
|
aaa
=
a
,
bbaabb
=
b
⟩
Next:
#18757
⟨
a
,
b
|
aaa
=
a
,
bbabbb
=
b
⟩
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
15
⇒
a
b
2
a
⇒
a
b
12
aba
⇒
a
2
b
6
a
3
⇒
a
# ab:aaa=a,bbabbb=a b/a abbbbbbbbbbbbbbb=a bba=abbbbbbbbbbbb aba=aabbbbbb aaa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
