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Line-transitive point-imprimitive linear spaces with number of points being a product of two primes

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The work studies the line-transitive point-imprimitive automorphism groups of finite linear spaces, and is underway on the situation when the numbers of points are products of two primes. Let ????… Click to show full abstract

The work studies the line-transitive point-imprimitive automorphism groups of finite linear spaces, and is underway on the situation when the numbers of points are products of two primes. Let ???? be a non-trivial finite linear space with cd points, where c and d are two primes. We prove that if G ≤Aut(????) is line-transitive point-imprimitive, then G is solvable.

Keywords: two primes; line transitive; transitive point; point imprimitive

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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