Displaying similar documents to “Structure of the Unit Group of FD10”

Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh (2011)

Studia Mathematica

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Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.

(2,3)-generation of the groups PSL6(q)

Tabakov, K., Tchakerian, K. (2011)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 20F05, 20D06. We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).

On the foundations of k-group theory

W. F. Lamartin

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CONTENTSIntroduction................... 51. k-spaces.................... 62. k-groups.................... 14References..................... 32

PROBLEMS

M. Chrobak, M. Habib, P. John, H. Sachs, H. Zernitz, J. R. Reay, G. Sierksma, M. M. Sysło, T. Traczyk, W. Wessel (1987)

Applicationes Mathematicae

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Units of F5kD10

Gildea, Joe (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 20C05, 16U60, 16S84, 15A33. The Structure of the Unit Group of the Group Algebra of the group D10 over any field of characteristic 5 is established in terms of split extensions of cyclic groups.

Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.

Heinz Neudecker (2004)

SORT

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The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.

Isometries between groups of invertible elements in C*-algebras

Osamu Hatori, Keiichi Watanabe (2012)

Studia Mathematica

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We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.

Rigidity, internality and analysability

Daniel Palacín, Frank O. Wagner (2014)

Fundamenta Mathematicae

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We prove a version of Hrushovski's Socle Lemma for rigid groups in an arbitrary simple theory.

A factorization of elements in PSL(2, F), where F = Q, R

Jan Ambrosiewicz (2000)

Discussiones Mathematicae - General Algebra and Applications

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Let G be a group and Kₙ = {g ∈ G: o(g) = n}. It is prowed: (i) if F = ℝ, n ≥ 4, then PSL(2,F) = Kₙ²; (ii) if F = ℚ,ℝ, n = ∞, then PSL(2,F) = Kₙ²; (iii) if F = ℝ, then PSL(2,F) = K₃³; (iv) if F = ℚ,ℝ, then PSL(2,F) = K₂³ ∪ E, E ∉ K₂³, where E denotes the unit matrix; (v) if F = ℚ, then PSL(2,F) ≠ K₃³.

Generalized functions on adeles. Linear and non-linear theories

Yakov V. Radyno, Yauhen M. Radyna (2010)

Banach Center Publications

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We consider various generalizations of linear homogeneous distributions on adeles and construct a number of algebras of non-linear generalized functions on adeles and totally disconnected groups such as the discrete adeles.