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math.GR2020
On the regular power structure of -groups and applications
James Williams
In this paper, we give elementary proofs of the Restricted Burnside Problem and the Hughes Conjecture for finite -groups with Hall's regular power structure property. Moreover,…
math.GR2020
Powerfully nilpotent groups of rank 2 or small order
Gunnar Traustason, James Williams
In this paper we continue the study of powerfully nilpotent groups. These are powerful -groups possessing a central series of a special kind. To each such group one can attach a…