Counting Points Modulo p for some Finitely Generated Subgroups of Algebraic Groups

DOI10.1112/blms/14.2.149zbMath0484.20019OpenAlexW2028207499MaRDI QIDQ3943129

C. R. Matthews

Publication date: 1982

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/14.2.149

zbMATH Keywords

growth functionArtin's conjecture on primitive rootsfinitely generated subgroups of algebraic groupsreduction homomorphismsubgroups of abelian variety

Mathematics Subject Classification ID

Linear algebraic groups over global fields and their integers (20G30) Congruences; primitive roots; residue systems (11A07) Density theorems (11R45) Arithmetic ground fields for abelian varieties (14K15)

Related Items (11)

The distribution of sequences in residue classes ⋮ Periods of orbits modulo primes ⋮ Artin's conjecture for primitive roots ⋮ REDUCTION modp OF SUBGROUPS OF THE MORDELL–WEIL GROUP OF AN ELLIPTIC CURVE ⋮ An analogue of Artin's conjecture for multiplicative subgroups of the rationals ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT ⋮ Markoff triples and strong approximation ⋮ Finite sets containing near-primitive roots ⋮ On a problem of Schinzel and Wójcik involving equalities between multiplicative orders ⋮ Super-regular Steiner 2-designs

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