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Additive group

Source: Brazil Undergrad MO - Galois-Noether 2018 #25

November 26, 2019
topologyBrazilian Undergrad MOgroup theory

Problem Statement

Consider the Z/(10) \mathbb {Z} / (10) additive group automorphism group of integers module 1010, that is, A={ϕ:Z/(10)Z/(10)ϕautomorphism} A = \left \{\phi: \mathbb {Z} / (10) \to \mathbb {Z} / (10) | \phi-automorphism \right \}