Abstract
AbstractLet
$\pi $
be a set of primes. We say that a group G satisfies
$D_{\pi }$
if G possesses a Hall
$\pi $
-subgroup H and every
$\pi $
-subgroup of G is contained in a conjugate of H. We give a new
$D_{\pi }$
-criterion following Wielandt’s idea, which is a generalisation of Wielandt’s and Rusakov’s results.
Publisher
Cambridge University Press (CUP)
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