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Displaying similar documents to “Conjugacy of subgroups of the general linear group.”

Weakly-exceptional quotient singularities

Dmitrijs Sakovics (2012)

Open Mathematics

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A singularity is said to be weakly-exceptional if it has a unique purely log terminal blow-up. In dimension 2, V. Shokurov proved that weakly-exceptional quotient singularities are exactly those of types D n, E 6, E 7, E 8. This paper classifies the weakly-exceptional quotient singularities in dimensions 3 and 4.

On a question of M. Conder

M. Chiara Tamburini, Paola Zucca (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show that the special linear group S ⁢ L ⁢ 3 , Z , over the integers, is not 2 , 3 -generated. This gives a negative answer to a question of M. Conder.

On sM-group.

How, Guan Aun (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Representation of finite groups and the first Betti number of branched coverings of a universal Borromean orbifold

Masahito Toda (2004)

Open Mathematics

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The paper studies the first homology of finite regular branched coverings of a universal Borromean orbifold called B 4,4,4ℍ3. We investigate the irreducible components of the first homology as a representation space of the finite covering transformation group G. This gives information on the first betti number of finite coverings of general 3-manifolds by the universality of B 4,4,4. The main result of the paper is a criterion in terms of the irreducible character whether a given irreducible...

Periodic subgroups of projective linear groups in positive characteristic

Alla Detinko, Dane Flannery (2008)

Open Mathematics

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We classify the maximal irreducible periodic subgroups of PGL(q, 𝔽 ), where 𝔽 is a field of positive characteristic p transcendental over its prime subfield, q = p is prime, and 𝔽 × has an element of order q. That is, we construct a list of irreducible subgroups G of GL(q, 𝔽 ) containing the centre 𝔽 ×1q of GL(q, 𝔽 ), such that G/ 𝔽 ×1q is a maximal periodic subgroup of PGL(q, 𝔽 ), and if H is another group of this kind then H is GL(q, 𝔽 )-conjugate to a group in the list. We give criteria...