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〈
a
,
b
|
aaa
=
1
,
ababab
=
1
〉
Monoid presentation of length 9
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a
2
b
-1
=
a(ba)
2
Complete rewriting system
a
3
⇒ 1
b(ab)
2
⇒
a
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
6 total
Length:
Presentation:
10
〈
a
,
b
|
aaa
=
1
,
babab
=
aa
〉
11
〈
a
,
b
|
aaaa
=
a
,
ababab
=
1
〉
11
〈
a
,
b
|
aaab
=
b
,
ababab
=
1
〉
11
〈
a
,
b
|
aaab
=
b
,
bababa
=
1
〉
11
〈
a
,
b
|
aaa
=
1
,
aababab
=
a
〉
11
〈
a
,
b
|
aaa
=
1
,
abababa
=
a
〉
