LAUSR

Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type

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1 Published in 2020 at "Graphs and Combinatorics"

DOI: 10.1007/s00373-020-02161-0

Abstract: In this article, we study 2-designs with $$\gcd (r,\lambda )=1$$ gcd ( r , λ ) = 1 admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type.… read more here.

Keywords: transitive block; flag transitive; lie type; block designs ... See more keywords

Lübeck's classification of representations of finite simple groups of Lie type and the inverse Galois problem for some orthogonal groups

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1 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2019.06.010

Abstract: Abstract In this paper we prove that for each integer of the form n = 4 ϖ (where ϖ is a prime between 17 and 73) at least one of the following groups: P Ω… read more here.

Keywords: groups lie; simple groups; galois; lie type ... See more keywords

Rapid growth in finite simple groups

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2 Published in 2017 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/6935

Abstract: We show that small normal subsets A of finite simple groups grow very rapidly – namely, |A| ≥ |A|2− , where > 0 is arbitrarily small. Extensions, consequences, and a rapid growth result for simple… read more here.

Keywords: simple groups; mathematics; growth finite; rapid growth ... See more keywords

Free subgroups of inverse limits of iterated wreath products of non-abelian finite simple groups in primitive actions

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1 Published in 2017 at "Journal of Group Theory"

DOI: 10.1515/jgth-2016-0061

Abstract: Abstract Let ???? = { G i ∣ 1 ≤ i ∈ ℕ } {\mathcal{W}=\{G_{i}\mid 1\leq i\in\mathbb{N}\}} be a set of non-abelian finite simple groups. Set W 1 = G 1 {W_{1}=G_{1}} and choose a… read more here.

Keywords: simple groups; abelian finite; non abelian; finite simple ... See more keywords

Steinberg-like characters for finite simple groups

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1 Published in 2019 at "Journal of Group Theory"

DOI: 10.1515/jgth-2019-0024

Abstract: Abstract Let G be a finite group and, for a prime p, let S be a Sylow p-subgroup of G. A character χ of G is called Sylp{\mathrm{Syl}_{p}}-regular if the restriction of χ to S… read more here.

Keywords: steinberg like; characters finite; like characters; simple groups ... See more keywords