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

Structure of the unit group of the group algebras of non-metabelian groups of order 128

Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra K. Sharma, Gaurav Mittal (2025)

Mathematica Bohemica

Similarity:

We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.

Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh (2011)

Studia Mathematica

Similarity:

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

Similarity:

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

Similarity:

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

Similarity:

One Erdös style inequality

Tomáš J. Kepka, Petr C. Němec (2019)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

One unusual inequality is examined.

Units of F5kD10

Gildea, Joe (2010)

Serdica Mathematical Journal

Similarity:

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

Similarity:

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

Similarity:

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

Similarity:

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

Similarity:

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.