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REALIZING PROFINITE REDUCED SPECIAL GROUPS
(PACIFIC JOURNAL MATHEMATICS, 2011)
Special groups are an axiomatization of the algebraic theory of quadratic forms over fields. It is known that any finite reduced special group is the special group of some field. We show that any special group that is the ...
Free actions of abelian p-groups on the n-Torus
(2005-01-01)
In this work we make some contributions to the theory of actions of abelian p-groups on the n-Torus Tn. Set H ≅ ℤpk1 h1 × ℤpk2h2 × ⋯ × ℤpkrhr, r ≥ 1, k1 ≥ k2 ≥ ⋯ ≥ kr ≥ 1, p prime. Suppose that the group H acts freely on ...
Generalization strategies and representations used by final-year elementary school students
(2022)
Recent research has highlighted the role of functional relationships
in introducing elementary school students to algebraic thinking. This
functional approach is here considered to study essential components
of algebraic ...
Symmetry breaking in the genetic code: Finite groups
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
We investigate the possibility of interpreting the degeneracy of the genetic code, i.e., the feature that different codons (base triplets) of DNA are transcribed into the same amino acid, as the result of a symmetry breaking ...
Algebraic construction of the basis for the irreducible representations of rotation groups and for the homogeneous Lorentz group
(1965-01-01)
The basic functions for a class of the irreducible representations of the rotation groups in n dimensions (Rn) are explicitly constructed by an algebraic method in which the basic functions are taken to be homogeneous ...
Anéis semissimples e representações de grupo
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2021-08-20)
The present work aims to present the theory of semisimple rings, group rings and group representations, in order to enable the calculation and to obtain the matrix representations of groups. This study is justified by the ...
Quaternionic differential operators
(Amer Inst PhysicsMelvilleEUA, 2001)