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Arthur Cayley
Un tabella de Cayley, nominate re le mathematico britannic Arthur Cayley (1821 – 1895), es un possibilitate de presentar structuras algebric finite como un tabella quadratic. Un tabella de Cayley es apte pro per exemplo magmas, quasi-gruppos, semigruppos e gruppos.
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![{\displaystyle 1}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO85aAw5yge4aAiNzNK4nDm0aNiQygw0nteQytoQotCPytzCnDs3o2dA) |
![{\displaystyle a}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9AnAwOzjG3ztiQoqi0aNG0aNzFaDs3ytw1aghEaAeNnjs1z2s1nqvD) |
![{\displaystyle b}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9Aati0aDzAoAeOntC2z2o5yjnBaNo4ajvFyghBzje3atKNzjCPz2aN) |
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![{\displaystyle a}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9AnAwOzjG3ztiQoqi0aNG0aNzFaDs3ytw1aghEaAeNnjs1z2s1nqvD) |
![{\displaystyle 1}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO85aAw5yge4aAiNzNK4nDm0aNiQygw0nteQytoQotCPytzCnDs3o2dA) |
![{\displaystyle ab}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO80ytaNz2a1o2oOztoPytnBaDe5aAo3ajw3o2e1ngi2ygaOzgzFytrC) |
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![{\displaystyle b}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9Aati0aDzAoAeOntC2z2o5yjnBaNo4ajvFyghBzje3atKNzjCPz2aN) |
![{\displaystyle ab}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO80ytaNz2a1o2oOztoPytnBaDe5aAo3ajw3o2e1ngi2ygaOzgzFytrC) |
![{\displaystyle 1}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO85aAw5yge4aAiNzNK4nDm0aNiQygw0nteQytoQotCPytzCnDs3o2dA) |
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![{\displaystyle ab}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO80ytaNz2a1o2oOztoPytnBaDe5aAo3ajw3o2e1ngi2ygaOzgzFytrC) |
![{\displaystyle b}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9Aati0aDzAoAeOntC2z2o5yjnBaNo4ajvFyghBzje3atKNzjCPz2aN) |
![{\displaystyle a}](https://amansaja.com/index.php?q=Mfv0Kfa6bO93MqTXLqrCMqiSL3dZb2hQMu9Onpz0p3oPb21BngBFb21FJgGRKArSngrOb3z2nO9AnAwOzjG3ztiQoqi0aNG0aNzFaDs3ytw1aghEaAeNnjs1z2s1nqvD) |
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Lege, per exemplo,
,
,
e
in le ultime fila de sinistre a dextre.
Sur le insimul
, le addition
e le multiplication
es presentabile per tabellas de Cayley:
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