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Topic:
Cross products in F^n, F a finite field
Replies:
3
Last Post:
Oct 23, 2013 11:26 AM



Sandy
Posts:
51
Registered:
7/9/13


Cross products in F^n, F a finite field
Posted:
Oct 21, 2013 11:43 AM


Let F be a finite field with p^m elements; p a prime, m a positive natural number. Consider the vector space with vectors ordered ntuples of F's elements, and scalar multiplication and vector addition defined pointwise. Call it F^n.
For which p, m and n can a cross product be defined in F^n?



