Subspaces generated by rows of circulants and minimal irreducible linear groups. (Russian) Zbl 0575.20043

The author studies properties of the subspace spanned by rows of a circulant matrix over a field of prime order with a view to obtain a classification of soluble minimal irreducible subgroups of GL(pq,K) where K is a subfield of the field of real numbers, p and q are prime, \(p>q\) and q not divides p-1. He proves that there are exactly 4 conjugacy classes of such subgroups.
Reviewer: V.Mazurov


20G40 Linear algebraic groups over finite fields
20E07 Subgroup theorems; subgroup growth
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