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A340514
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a(n) is the minimal order of a group in which all groups of order n can be embedded.
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2
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1, 2, 3, 8, 5, 12, 7, 32, 27, 20, 11, 144, 13, 28, 15, 256, 17, 216, 19, 160, 63, 44, 23
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OFFSET
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1,2
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REFERENCES
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Heffernan, Robert, Des MacHale, and Brendan McCann. "Cayley's Theorem Revisited: Embeddings of Small Finite Groups." Mathematics Magazine 91.2 (2018): 103-111.
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LINKS
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FORMULA
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a(p)=p, a(p^2)=p^3, a(p^3)=p^6 if p is odd, a(8)=32.
If p<q are distinct primes, a(pq)=p^2q if p divides (q-1), a(pq)=pq otherwise. (End)
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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