Listar por autoría "930753d9-0360-4e16-a2d1-663a26811e9e"
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Extending Camina pairs
Akhlaghi, zeinab; Beltrán, Antonio Elsevier (2023)Let G be a finite group and N a nontrivial proper normal subgroup of G. A.R. Camina introduced the class of finite groups G, which extends Frobenius groups, satisfying that for all g ∈ G − N and n ∈ N, gn is conjugate ... -
Finite p-solvable groups with three p-regular conjugacy class sizes
Beltrán, Antonio; Felipe, Maria José; Akhlaghi, zeinab; Khatami, Maryam Edinburgh Mathematical Society (2013)Let G be a finite p-solvable group. We describe the structure of the p-complements of G when the set of p-regular conjugacy classes has exactly three class sizes. For instance, when the set of p-regular class sizes of G ... -
Normal subgroups and p-regular G-class sizes.
Beltrán, Antonio; Akhlaghi, zeinab; Felipe, Maria José; Khatami, Maryam © 2011 Elsevier (2011-06)Let G be a finite p-solvable group and N be a normal subgroup of G. Suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. In this paper it is shown that, if H is a p-complement of N, then either ... -
Structure of normal subgroups with three G-class sizes
Beltrán, Antonio; Felipe, Maria José; Akhlaghi, zeinab; Khatami, Maryam Springer-Verlag (2012)Let G be a finite group and N be a normal subgroup of G. Suppose that the set of G-conjugacy class sizes of N is {1, m, n}, with m < n and m does not divide n. In this paper, we show that N is solvable, and we determine ... -
The influence of p-regular class sizes on normal subgroups
Akhlaghi, zeinab; Beltrán, Antonio; Felipe, Maria José Walter de Gruyter (2013)Let G be a finite group and N be a normal subgroup of G and suppose that the p-regular elements of N have exactly two G-conjugacy class sizes. It is shown that N is solvable and that if H is a p-complement of N, then either ...