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Finite Group Z8


One of the three Abelian groups of the five groups total of Order 8. An example is the residue classes modulo 17 which Quadratic Residues, i.e., $\{1, 2, 4, 8, 9, 13, 15, 16\}$ under multiplication modulo 17. The elements $A_i$ satisfy ${A_i}^8=1$, four of them satisfy ${A_i}^4=1$, and two satisfy ${A_i}^2=1$. The Cycle Graph is shown above.

See also Finite Group D4, Finite Group Q8, Finite Group Z2Z4, Finite Group Z2Z2Z2

© 1996-9 Eric W. Weisstein