Výsledky vyhledávání - "Jambor, Sebastian"

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On finite simple images of triangle groups

Autor: Jambor, Sebastian, Litterick, Alastair, Marion, Claude

For a simple algebraic group G in characteristic p, a triple (a,b,c) of positive integers is said to be rigid for G if the dimensions of the subvarieties of G of elements of order dividing a,b,c sum to 2dim G. In this paper we complete the proof of a

Externí odkaz: http://arxiv.org/abs/1706.07641

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An L2-quotient algorithm for finitely presented groups on arbitrarily many generators

Autor: Jambor, Sebastian

We generalize the Plesken-Fabia\'nska $\mathrm{L}_2$-quotient algorithm for finitely presented groups on two or three generators to allow an arbitrary number of generators. The main difficulty lies in a constructive description of the invariant ring

Externí odkaz: http://arxiv.org/abs/1402.6788

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Determining Aschbacher classes using characters

Autor: Jambor, Sebastian

Let $\Delta\colon G \to \mathrm{GL}(n, K)$ be an absolutely irreducible representation of an arbitrary group $G$ over an arbitrary field $K$; let $\chi\colon G \to K\colon g \mapsto \mathrm{tr}(\Delta(g))$ be its character. In this paper, we assume k

Externí odkaz: http://arxiv.org/abs/1402.6395

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Fast recognition of alternating groups of unknown degree

Autor: Jambor, Sebastian, Leuner, Martin, Niemeyer, Alice C., Plesken, Wilhelm

We present a constructive recognition algorithm to decide whether a given black-box group is isomorphic to an alternating or a symmetric group without prior knowledge of the degree. This eliminates the major gap in known algorithms, as they require t

Externí odkaz: http://arxiv.org/abs/1306.0767

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Some word maps that are non-surjective on infinitely many finite simple groups

Autor: Jambor, Sebastian, Liebeck, Martin W., O'Brien, E. A.

We provide the first examples of words in the free group of rank 2 which are not proper powers and for which the corresponding word maps are non-surjective on an infinite family of finite non-abelian simple groups.
Comment: Mildly revised versio

Externí odkaz: http://arxiv.org/abs/1205.1952

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