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16.36 (2006)

Solved

(Well-known problem). We call a finite group rational if all of its ordinary characters are rational-valued. Is every Sylow 2-subgroup of a rational group also a rational group?

Contributor: M. R. Darafsheh

Progress

No, not always (I. M. Isaacs, G. Navarro, Math. Z., 272 (2012), 937–945).

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