Multiplying a conjugacy class by its inverse in a finite group
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Other documents of the author: Beltrán, Antonio; Felipe, Maria José; Melchor Borja, Carmen
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Title
Multiplying a conjugacy class by its inverse in a finite groupDate
2018-08Publisher
SpringerBibliographic citation
BELTRÁN, Antonio; FELIPE, María José; MELCHOR, Carmen. Multiplying a conjugacy class by its inverse in a finite group. Israel Journal of Mathematics, 2018, 227.2: 811-825.Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s11856-018-1742-9Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 ... [+]
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 on the class sizes determining the solvability and the structure of 〈K〉 and 〈D〉. [-]
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Universitat Jaume I (grant PRE- DOC/2015/46) ; Valencian Government (PROMETEOII/2015/01) ; Universitat Jaume I (grant P11B2015-7)Rights
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