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A capital Z or C with a subscript, naming the group generated by one element.
Also known as: Cyclic group, Z n, C n, Integers modulo n
A cyclic group is everything you can reach by repeating one operation, and it is written two incompatible ways: Z_n in most algebra texts, C_n in most group-theory texts. Worse, Z_p is used by number theorists for the p-adic integers, which are a different object entirely.
Denotes the cyclic group of a given order — the group generated by a single element.
Contexts: Mathematics
Is written Z_n or C_n depending on the literature, and Z/nZ where the quotient construction is being emphasised; the three name one group.
Contexts: Mathematics
Collides with the p-adic integers, also written Z_p, which is why algebraists writing about p-adics use Z/pZ instead.
Contexts: Mathematics
A capital letter Z or C with a small numeral or letter set below and to the right.