#2259 ⟨
a
,
b
|
aabbaab
=
bba
⟩
Up:
Monoids with two generators and one relation
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#2258
⟨
a
,
b
|
aabbaab
=
bab
⟩
Next:
#2260
⟨
a
,
b
|
aabbaab
=
bbb
⟩
Properties
Presentation has sum-of-sides 10
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
) = deg(
c
) = 1,
b
<
c
Auxiliary generator:
bba=c
b
2
a
⇒
c
a
2
cab
⇒
c
a
(
ac
)
2
⇒
cba
b
2
c
⇒ (
ca
)
2
b
# ab:aabbaab=bba reversed:a/bc bba=c magic:0 bba=c aacab=c aacac=cba bbc=cacab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
