#25257 ⟨
a
,
b
|
aa
=
a
,
bbbbb
=
abb
⟩
Up:
Monoids with two generators and two relations
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#25256
⟨
a
,
b
|
aa
=
a
,
bbbbb
=
aba
⟩
Next:
#25258
⟨
a
,
b
|
aa
=
a
,
bbbbb
=
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(
b
) = 0; deg(
a
) = 1
b
8
⇒
b
5
a
b
2
⇒
b
5
a
2
⇒
a
# ab:aa=a,bbbbb=abb b/a bbbbbbbb=bbbbb abb=bbbbb aa=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
