#14065 ⟨
a
,
b
|
aaba
=
b
,
aaaaaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#14064
⟨
a
,
b
|
aaba
=
a
,
bbbbbb
=1⟩
Next:
#14128
⟨
a
,
b
|
aaba
=
b
,
bbbbbb
=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
6
⇒ 1
ba
⇒
a
4
b
# ab:aaba=b,aaaaaa=1 reversed:a/b aaaaaa=1 ba=aaaab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
