Period notation in group theory

Question

In the context of finite fields, quotient groups, and characteristics, what does $$n.1=0$$ mean, i.e., what is the period notation?

Answer 1

$n \cdot 1$ most probably means $1 + 1 + \cdots + 1$, with $n$ terms.

Both $1$ and $+$ are to be interpreted in the given field.