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〈
a
,
b
|
aaa
=
1
,
bbaabb
=
a
〉
Monoid presentation of length 10
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right bc/a
Auxiliary generator
aa=c
Inverses of generators
a
-1
=
c
b
-1
=
bcb
2
c
c
-1
=
c
2
Complete rewriting system
c
3
⇒ 1
b
2
cb
2
⇒
c
2
cb
2
cb
⇒
bcb
2
c
c
2
bcb
2
⇒
b
2
cbc
2
a
⇒
c
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
2 total
Length:
Presentation:
11
〈
a
,
b
|
aaa
=
1
,
aabbaabb
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
baabbaab
=
1
〉
