Let [Formula: see text] be an irreducible polynomial with rational coefficients, [Formula: see text] the number field defined by [Formula: see text], and [Formula: see text] the Galois group of [Formula: see text]. Let [Formula: see text], and let [Formula: see text] be the Galois group of [Formula: see text]. We investigate the extent to which knowledge of the conjugacy class of [Formula: see text] in [Formula: see text] determines the conjugacy class of [Formula: see text] in [Formula: see text]. We show that, in general, knowledge of [Formula: see text] does not automatically determine [Formula: see text], except when [Formula: see text] is isomorphic to [Formula: see text] (the cyclic group of order 4). In this case, we show [Formula: see text] is isomorphic to a non-split extension of [Formula: see text] (the dihedral group of order 8) by [Formula: see text]. We also show that [Formula: see text] is completely determined when [Formula: see text] is isomorphic to [Formula: see text] and [Formula: see text] is a perfect square. In this case, [Formula: see text].
The theme for this issue of School Libraries Worldwide is "Services and Resources for Special Groups." The topic is both vital and broad, and the call for papers tried to make clear just how widely we were opening the door to reports of research in this area.
In the call for papers for this issue of School Libraries Worldwide, we asked contributors to send us accounts of a typical day in their lives. Our goal was to present a map of the world of scholl librarianship, not in data but in narratives.
There is a great deal of evidence for the importance of reading for academic success, and many people have written persuasively about the richness books bring to readers' lives.
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