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

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Posts: 51
Registered: 7/9/13
Cross products in F^n, F a finite field
Posted: Oct 21, 2013 11:43 AM
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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 n-tuples
of F's elements, and scalar multiplication and vector addition defined
point-wise. Call it F^n.

For which p, m and n can a cross product be defined in F^n?

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