Squares of real conjugacy classes in finite groups
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Other documents of the author: Beltrán, Antonio; Felipe, Maria José; Melchor Borja, Carmen
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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https://doi.org/10.1007/s10231-017-0681-0 |
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Title
Squares of real conjugacy classes in finite groupsDate
2017-07Publisher
Springer VerlagBibliographic citation
BELTRÁN, A.; FELIPE, M. J.; MELCHOR, C. Squares of real conjugacy classes in finite groups. Annali di Matematica Pura ed Applicata (1923-), 2017, p. 1-12.Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s10231-017-0681-0Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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 ... [+]
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. We also obtain the structure of those groups in which the assumption above is true for all non-central conjugacy classes and when every conjugacy class satisfies that its square is the union of all central conjugacy classes except at most one. [-]
Investigation project
Valencian Government (PROMETEOII/2015/011) ; Universitat Jaume I (Grant P11B2015-77)Rights
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany 2017
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