Zhengxing Li, Jinke Hai
Abstract
Let G = H≀S m be the natural wreath product of H by S m , where H is a finite 2-closed group and S m is the symmetric group of degree m. It is shown that the normalizer property holds for G.
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Let G = H≀S m be the natural wreath product of H by S m , where H is a finite 2-closed group and S m is the symmetric group of degree m. It is shown that the normalizer property holds for G.
Key concepts: Centralizer and normalizer, Mathematics, Wreath product, Monomial, Combinatorics, Property (philosophy), Group (periodic table), Class (philosophy)