Bounds for fixed point free elements in a transitive group and applications to curves over finite fields

1997 ◽  
Vol 101 (1) ◽  
pp. 255-287 ◽  
Author(s):  
Robert Guralnick ◽  
Daqing Wan
Keyword(s):  
Fixed Point ◽  
Finite Fields ◽  
Transitive Group ◽  
Curves Over Finite Fields

scholarly journals Derangements in cosets of primitive permutation groups

2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Andrei Pavelescu
Keyword(s):  
Fixed Point ◽  
Finite Fields ◽  
Permutation Groups ◽  
Normal Subgroups ◽  
Primitive Groups ◽  
Branched Coverings ◽  
Affine Groups ◽  
Nonabelian Subgroup ◽  
Projective Curves ◽  
Curves Over Finite Fields

AbstractMotivated by questions arising in connection with branched coverings of connected smooth projective curves over finite fields, we study the proportion of fixed-point free elements (derangements) in cosets of normal subgroups of primitive permutations groups. Using the Aschbacher–O'Nan–Scott Theorem for primitive groups to partition the problem, we provide complete answers for affine groups and groups which contain a regular normal nonabelian subgroup.

scholarly journals Primes in short intervals on curves over finite fields

2018 ◽  
Vol 374 (1-2) ◽  
pp. 447-474 ◽  
Author(s):  
Efrat Bank ◽  
Tyler Foster
Keyword(s):  
Finite Fields ◽  
Short Intervals ◽  
Curves Over Finite Fields
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