The Multiplicative Group of a Finite Field is Cyclic! WHY? | Abstract Algebra! #maths
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YouTubeMath Mastery with Amitesh
The Multiplicative Group of a Finite Field is Cyclic! WHY? | Abstract Algebra! #maths
A beautiful theorem in abstract algebra is that the multiplicative group of a finite field F (the group of non-zero elements of F with respect to multiplication in the field F) is ALWAYS a cyclic group. In particular, this structure is completely determined by the number of elements of F. We explain the core reason that this is true, which ...
1.1K views3 weeks ago
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