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20132020
most citedA finiteness condition on centralizers in locally nilpotent groups

3 citations · 5 across the 6 of their papers we have counts for

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math.GR2013

Some restrictions on normalizers or centralizers in finite p-groups

Gustavo A. Fernandez-Alcober, Leire Legarreta, Antonio Tortora +1

We study three restrictions on normalizers or centralizers in finite p-groups, namely: (i) |N_G(H) : H| <= p^k for every H non-normal in G, (ii) |N_G(<g>) : <g>| <= p^k for every <…

math.GR2013

A restriction on centralizers in finite groups

Gustavo A. Fernandez-Alcober, Leire Legarreta, Antonio Tortora +1

For a given m>=1, we consider the finite non-abelian groups G for which |C_G(g):<g>|<=m for every g in G\Z(G). We show that the order of G can be bounded in terms of m and the larg…