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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.GR2015★ 3 cited

A finiteness condition on centralizers in locally nilpotent groups

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

We give a detailed description of infinite locally nilpotent groups G such that the index |C_G (x) : <x>| is finite, for every non-normal cyclic subgroup <x> of G. We are also able…

math.GR2015

A finiteness condition on centralizers in locally finite groups

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

We consider a finiteness condition on centralizers in a group G, namely that |C_G (x) : <x>| is finite for every non-normal cyclic subgroup <x> of G. For periodic groups, this is t…