#16296 ⟨
a
,
b
|
aab
=
bb
,
abab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16295
⟨
a
,
b
|
aab
=
bb
,
abab
=
ba
⟩
Next:
#16297
⟨
a
,
b
|
aab
=
bb
,
abba
=
aa
⟩
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(
b
) = 0; deg(
a
) = 1
b
4
⇒
b
3
b
3
ab
⇒
b
2
ab
a
b
2
⇒
b
2
ab
a
2
b
⇒
b
2
(
ab
)
2
⇒
b
2
# ab:aab=bb,abab=bb reversed:b/a bbbb=bbb bbbab=bbab abb=bbab aab=bb abab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
