From 6e9cc8e0f68400969ac61188c7513ea9ee04def0 Mon Sep 17 00:00:00 2001
From: Marek Kaluba <kalmar@amu.edu.pl>
Date: Tue, 8 Nov 2022 09:59:07 +0100
Subject: [PATCH] action on FPGroupElement via action on the underlying word

---
 src/actions/alphabet_permutation.jl | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git a/src/actions/alphabet_permutation.jl b/src/actions/alphabet_permutation.jl
index a3e15e0..8dfe89d 100644
--- a/src/actions/alphabet_permutation.jl
+++ b/src/actions/alphabet_permutation.jl
@@ -28,17 +28,17 @@ end
 function SymbolicWedderburn.action(
     act::AlphabetPermutation,
     γ::Groups.GroupElement,
-    w::Groups.AbstractWord,
+    g::Groups.AbstractFPGroupElement,
 )
-    return w^(act.perms[γ])
+    G = parent(g)
+    w = SymbolicWedderburn.action(act, γ, word(g))
+    return G(w)
 end
 
 function SymbolicWedderburn.action(
     act::AlphabetPermutation,
     γ::Groups.GroupElement,
-    g::Groups.AbstractFPGroupElement,
+    w::Groups.AbstractWord,
 )
-    G = parent(g)
-    w = word(g)^(act.perms[γ])
-    return G(w)
+    return w^(act.perms[γ])
 end