Journal of Integer Sequences, Vol. 23 (2020), Article 20.10.6

Carmichael Numbers for GL(m)

Eugene Karolinsky and Dmytro Seliutin
Department of Pure Mathematics
Kharkiv National University


We propose a generalization of Carmichael numbers, where the multiplicative group Gm = 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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(Concerned with sequences A002997 A336663.)

Received March 3 2020; revised version received July 30 2020. Published in Journal of Integer Sequences, October 18 2020.

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