Randomized trial generalizes Hegedűs’ results on finite rational 2-groups, suggesting broader application.
A famous result of P. Hegedűs describes the structure of finite rational \2,5\ { 2 , 5 } -groups. In this paper, we show how Hegedűs’ proof can be used to obtain a similar result for the more general situation of a finite rational 2-group acting faithfully and with the eigenvector property on a f.d Fₚ F p -vector space, where p is a prime with p≥ 5 p ≥ 5 .
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Sara C. Debón (2026) studied this question.