Akash Shukla posted an Question
July 19, 2021 • 18:51 pm 30 points
  • CSIR NET
  • Mathematical Sciences

If g is a group and g ∈ g, let s(g) = {σ ∈ aut(g) : σ(g) = g}. show that s(g) is a subgroup of aut(g) for all g ∈ g.

If G is a group and g ∈ G, let S(g) = {σ ∈ Aut(G) : σ(g) = g}. Show that S(g) is a subgroup of Aut(G) for all g ∈ G.

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