no. 1
Complements, baseless subgroups and sylow subgroups of infinite wreath products
Compositio Mathematica, Tome 26 (1973) no. 1, pp. 3-30. 
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     number = {1},
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     zbl = {0253.20057},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1973__26_1_3_0/}
}
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Hartley, B. Complements, baseless subgroups and sylow subgroups of infinite wreath products. Compositio Mathematica, Tome 26 (1973) no. 1, pp. 3-30. http://archive.numdam.org/item/CM_1973__26_1_3_0/

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