An Improvement on Olson's Constant for Z_p+Z_p
Gautami Bhowmik (LPP), Jan-Christoph Schlage-Puchta
TL;DR
This paper refines the known Olson's constant for the group Z_p+Z_p when p exceeds 6000, providing a more precise value based on the Olson's constant for Z_p.
Contribution
It offers an improved formula for Olson's constant for Z_p+Z_p for large primes p, extending previous results.
Findings
Ol(Z_p+Z_p)=p-1+Ol(Z_p) for p > 6000
Provides explicit Olson's constant for large prime groups
Enhances understanding of additive properties in finite groups
Abstract
For a prime number p greater than 6000, the Olson's constant for the group Z_p+Z_p is given by Ol(Z_p+Z_p)=p-1+Ol(Z_p).
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