#12128 ⟨
a
,
b
|
abba
=
bb
,
aaaaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#12095
⟨
a
,
b
|
abba
=
aa
,
bbbbb
=1⟩
Next:
#12149
⟨
a
,
b
|
aaaa
=
aa
,
aaab
=
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(
a
) = 0; deg(
b
) = 1
a
5
⇒ 1
a
b
2
⇒
b
2
a
4
# ab:abba=bb,aaaaa=1 a/b aaaaa=1 abb=bbaaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
