ListarMAT_Articles por tema "characters"
Mostrando ítems 1-6 de 6
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Conjugacy classes and union of cosets of normal subgroups
Springer Nature (2023)Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K−1 is union of cosets of N, then N is soluble, K is a real-imaginary class, that is, every irreducible character of G takes ... -
Contributions to the Bohr topology by W.W. Comfort
Elsevier (2019)The important rôle that W. W. Comfort played in the study of the Bohr topology is described.
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Cosets of normal subgroups and powers of conjugacy classes
Wiley (2021-08-03)Let 𝐺 be a finite group and let𝐾 = 𝑥𝐺 be the conjugacy class of an element 𝑥 of 𝐺. In this paper, it is proved that if 𝑁 is a normal subgroup of 𝐺 such that the coset 𝑥𝑁 is the union of 𝐾 and 𝐾−1 (the conjugacy ...
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Powers of conjugacy classes in a finite group
Springer (2019)The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning ...
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Some problems about products of conjugacy classes in finite groups
University of Isfahan (2019-03)We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect ...
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Squares of real conjugacy classes in finite groups
Springer Verlag (2017-07)We prove that if a finite group G contains a conjugacy class K whose square is of the form 1∪D, where D is a conjugacy class of G, then ⟨K⟩ is a solvable proper normal subgroup of G and we completely determine its structure. ...
