Splitting fields of real irreducible representations of finite groups

<p>We show that any irreducible representation &#x3C1; of a &#xFB01;nite group G of exponent n, realisable over R, is realisable over the &#xFB01;eld E:= Q(&#x3B6;n) &#x2229; R of real cyclotomic numbers of order n, and describe an algorithmic procedure transforming a reali...

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Bibliographic Details
Main Author: Pasechnik, DV
Format: Journal article
Language:English
Published: American Mathematical Society 2021