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UID:3c00469e86ed631d58cf4c8190c2f5d9
CATEGORIES:Algebra Seminar
CREATED:20221205T143114
SUMMARY:Galois groups of random additive polynomials
LOCATION:Hill Center Room 705
DESCRIPTION:The Galois group of an additive polynomial over a finite field is contained
  in a finite general linear group. We will discuss three different probabil
 ity distributions on these polynomials, and estimate the probability that a
  random additive polynomial has a "large" Galois group. Our computations us
 e a trick that gives us characteristic polynomials of elements of the Galoi
 s group, so we may use our knowledge of the maximal subgroups of GL(n,q). T
 his is joint work with Lior Bary-Soroker and Alexei Entin.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;">The Galois group of an additive polynomial over a finite f
 ield is contained in a finite general linear group. We will discuss three d
 ifferent probability distributions on these polynomials, and estimate the p
 robability that a random additive polynomial has a "large" Galois group. Ou
 r computations use a trick that gives us characteristic polynomials of elem
 ents of the Galois group, so we may use our knowledge of the maximal subgro
 ups of GL(n,q). This is joint work with Lior Bary-Soroker and Alexei Entin.
 </p>
CONTACT:Eilidh McKemmie (Rutgers University) 
DTSTAMP:20260921T034210
DTSTART;TZID=America/New_York:20221207T140000
DTEND;TZID=America/New_York:20221207T150000
SEQUENCE:0
TRANSP:OPAQUE
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