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〈
a
,
b
|
aa
=
1
,
abbbabbb
=
1
〉
Monoid presentation of length 10
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: right-to-left ac/b
Auxiliary generator
bbb=c
Inverses of generators
a
-1
=
a
b
-1
=
b
2
aca
c
-1
=
aca
Complete rewriting system
a
2
⇒ 1
cac
⇒
a
bc
⇒
cb
bac
⇒
acaba
b
3
⇒
c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
10
〈
a
,
b
|
aa
=
1
,
babbbabb
=
1
〉