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〈
a
,
b
|
bbb
=
aaa
,
abab
=
1
〉
Monoid presentation of length 10
Properties
Finite non-Abelian group with 96 elements
Completion parameters
Reduction order: left-to-right a/b
Inverses of generators
a
-1
=
a
23
b
-1
=
aba
Complete rewriting system
a
24
⇒ 1
a
3
b
⇒
ba
3
b
2
⇒
aba
4
bab
⇒
a
23
ba
2
b
⇒
a
2
ba
17
Right Cayley graph
Left Cayley graph
Others with same cardinality
1 unique, 7 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
aa
=
1
,
abababbbb
=
1
〉
Finite non-Abelian group with 96 elements
6 isomorphic