2024-03-29T02:30:05Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1699452023-12-21T08:30:55Zcom_10234_7037com_10234_9col_10234_8635
00925njm 22002777a 4500
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Beltrán, Antonio
author
Felipe, Maria José
author
Melchor Borja, Carmen
author
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. 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.
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.
http://hdl.handle.net/10234/169945
https://doi.org/10.1007/s10231-017-0681-0
finite groups
conjugacy classes
product of classes
characters
real conjugacy classes
Squares of real conjugacy classes in finite groups