Carmichael numbers for GL(m)

2020/01/28 by Eugene Karolinsky, Karolinsky, Eugene, Dmytro Seliutin +1
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2001.10315

openalex publication_date 2020/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a generalization of Carmichael numbers, where the multiplicative group \mathbb G_m = GL(1) is replaced by GL(m) for m≥ 2. We prove basic properties of these families of numbers and give some examples.

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