Sabina B. Pannek

most citedIrreducible linear subgroups generated by pairs of matrices with large irreducible submodules

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.GR2019

Number of irreducible polynomials whose compositions with monic monomials have large irreducible factors

Sabina B. Pannek

Given a prime power $q$ and positive integers $m, t, e$ with $e > m t /2$ , we determine the number of all monic irreducible polynomials $f (x)$ of degree $m$ with coefficients in $\math…

math.GR2019★ 2 cited

Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules

Alice C. Niemeyer, Sabina B. Pannek, Cheryl E. Praeger

We call an element of a finite general linear group $GL (d, q)$ \emph{fat} if it leaves invariant, and acts irreducibly on, a subspace of dimension greater than $d /2$ . Fat…