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SUMMARY:Giorgos Kapetanakis (University of Thessaly)
DTSTART:20230410T130000Z
DTEND:20230410T140000Z
DTSTAMP:20260423T021327Z
UID:GANT/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GANT/25/">To
 wards the Primitive Completely Normal Basis Theorem</a>\nby Giorgos Kapeta
 nakis (University of Thessaly) as part of Greek Algebra & Number Theory Se
 minar\n\n\nAbstract\nLet GF(q) be the finite field of cardinality q and GF
 (q^n) its extension of degree n. A generator of the multiplicative group G
 F(q^n)^* is called primitive and some x in GF(q^n) whose GF(q)-conjugates 
 span a GF(q)-basis is called normal over GF(q). In 1996\, Morgan and Mulle
 n conjectured that for every q and n\, there exists some primitive element
  of GF(q^n) that is normal over GF(q^d) for every d|n.\nIn this talk\, we 
 will describe how this conjecture was established when q>n and we will dis
 cuss possible improvements. This is joint work with Theodoulos Garefalakis
 .\n
LOCATION:https://researchseminars.org/talk/GANT/25/
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