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Periodic linear groups factorized by mutually permutable subgroups
The aim is to investigate the behaviour of (homomorphic images of) periodic linear groups which are factorized by mutually permutable subgroups....
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Bijective maps preserving commutators on a solvable classical group
Let F be a field, T n the group consisting of all n × n invertible upper triangular matrices over F . In this article we classify bijective maps ϕ ...
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Variations on the theme of FC-groups
The following is clearly equivalent to the usual definition of FC-group. A group is an FC-group, if each of its cyclic subgroups has only finitely...
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Locally nilpotent linear groups with restrictions on their subgroups of infinite central dimension
Let F be a field and V a vector space over F . If G is a subgroup of GL ( V , F ), then we define the central dimension of G (denoted by centdim ...
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Jørgensen’s Inequality for Non-Archimedean Metric Spaces
Jørgensen’s inequality gives a necessary condition for a non-elementary group of Möbius transformations to be discrete. In this paper we generalise...
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Irreducible semigroups of matrices with eigenvalue one
We study groups and semigroups of n × n matrices with the property that each matrix has a fixed point, i.e., 1 is an eigenvalue of each matrix. We...
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On finitary linear groups with a locally nilpotent maximal subgroup
We prove that a group G of finitary permutations, containing a locally nilpotent maximal subgroup M is locally solvable if M is not a 2-group. We...
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Unitary Group Theory and the Discovery of the Factorial Schur Functions
The unitary irreducible representations of the unitary group U ( n ) are obtained from a more general set of polynomials that satisfy the...
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Periodic normal subgroups of linear groups
In a yet to be published work R. E. Phillips and J. G. Rainbolt prove that every image of a periodic linear group (of finite degree) with trivial...
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Free products of finitary skew linear groups
We give two very different proofs of the following result. Let { G γ :λɛΛ : λ ∈ Λ } be a family of finitary skew linear groups of the same...
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