This note provides an affirmative answer to Problem 2.6 of Praeger and Schneider ['Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type', Israel J. Math. 228(2) (2018), 1001-1023]. We will build groups (abelian, nonabelian and simple) for which there are two automorphisms of such that the map is surjective.
ON A PROBLEM of PRAEGER and SCHNEIDER
Jabara Enrico
Project Administration
2020-01-01
Abstract
This note provides an affirmative answer to Problem 2.6 of Praeger and Schneider ['Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type', Israel J. Math. 228(2) (2018), 1001-1023]. We will build groups (abelian, nonabelian and simple) for which there are two automorphisms of such that the map is surjective.
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