Inverse system characterizations of the (hereditarily) just infinite property in profinite groups
(2012) Bulletin of the London mathematical society — Vol. 44, n° 3, p. 413-425 (2012)
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- Abstract
- We give criteria on an inverse system of finite groups that ensure that the limit is just infinite or hereditarily just infinite. More significantly, these criteria are 'universal' in that all (hereditarily) just infinite profinite groups arise as limits of the specified form. Inspired by a recent paper of Wilson, we give special consideration to (hereditarily) just infinite profinite groups that are not virtually pro-p. © 2011 London Mathematical Society.
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Reid, C. (2012). Inverse system characterizations of the (hereditarily) just infinite property in profinite groups. Bulletin of the London mathematical society, 44(3), 413-425. https://doi.org/10.1112/blms/bdr099 (Original work published 2012)