Listar por autoría "2587d969-f7cf-492e-8b0a-45c41222e45f"
Mostrando ítems 1-9 de 9
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An Arad and Fisman’s Theorem on Products of Conjugacy Classes Revisited
Springer (2022)A theorem of Z. Arad and E. Fisman establishes that if A and B are two non-trivial conjugacy classes of a finite group G such that either AB = A ∪ B or AB = A−1 ∪ B, then G cannot be a non-abelian simple group. We ... -
Conjugacy classes contained in normal subgroups: an overview
University of Isfahan (2017)We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an in uence on the normal structure of a nite group. The approach is mainly presented in the framework ...
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Grafos asociados a las clases de conjugación de subgrupos normales en grupos finitos
Universitat Jaume I (2014)Esta memoria es el resultado de aproximadamente un curso de trabajo contextualizado en la culminación del Máster en Matemática Computacional. Nuestro cometido se encuentra enmarcado dentro de la Teorí a de Grupos, la cual ... -
Landau's theorem on conjugacy classes for normal subgroups
World Scientific (2016-10-10)Landau’s theorem on conjugacy classes asserts that there are only finitely many finite groups, up to isomorphism, with exactly k conjugacy classes for any positive integer k. We show that, for any positive integers n and ...
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Multiplying a conjugacy class by its inverse in a finite group
Springer (2018-08)Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ∪ D−1 with D a conjugacy class of G. We prove that G is not a non-abelian simple group and we give arithmetical conditions ...
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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. ...
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Triangles in the graph of conjugacy classes of normal subgroups
Springer (2015-12)Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph ΓG(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph ...
