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math.GR2017★ 6 cited
Prime power indices in factorised groups
M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor
Let the group be the product of the subgroups and . We determine some structural properties of when the -elements in have prime power indices in $G…
math.GR2017★ 8 cited
Square-free class sizes in products of groups
M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor
We obtain some structural properties of a factorised group , given that the conjugacy class sizes of certain elements in are not divisible by , for some prim…