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math.GR2014
Some finiteness conditions on normalizers or centralizers in groups
Gustavo A. Fernandez-Alcober, Leire Legarreta, Antonio Tortora +1
We consider the following two finiteness conditions on normalizers and centralizers in a group G: (i) |N_G(H):H| is finite for every non-normal subgroup H of G, and (ii) |C_G(x):<x…
math.GR2014
An Engel condition for orderable groups
P. Shumyatsky, A. Tortora, M. Tota
Let m,n be positive integers, v a multilinear commutator word and w=v^m. We prove that if G is an orderable group in which all w-values are n-Engel, then the verbal subgroup v(G) i…