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Articles 1 - 6 of 6
Full-Text Articles in Algebra
Generalized Conjugacy Classes, Pramod N. Achar
Generalized Conjugacy Classes, Pramod N. Achar
Mathematical Sciences Technical Reports (MSTR)
Generalized conjugation is the action of a group on its underlying set given by (g,x) -> p(g)xg-1, where p is some fixed endomorphism of G. Here we study combinatorial properties of the sizes of the orbits of the preceding action. In particular, we reduce the problem to a simpler case if p has nontrivial kernel, or if it is an inner automorphism, and we give a construction that allows a partial analysis in the general case.
The Duals Of Warfield Groups, Peter Loth
The Duals Of Warfield Groups, Peter Loth
Mathematics Faculty Publications
A Warfield group is a direct summand of a simply presented abelian group. In this paper, we describe the Pontrjagin dual groups of Warfield groups, both for the p-local and the general case. A variety of characterizations of these dual groups is obtained. In addition, numerical invariants are given that distinguish between two such groups which are not topologically isomorphic.
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Presentations Of Direct Products Of Metacyclic Groups, Jared Everett Derksen
Theses Digitization Project
No abstract provided.
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Characterizing The Strong Two-Generators Of Certain Noetherian Domains, Ellen Yvonne Green
Theses Digitization Project
No abstract provided.
An Invariance Property Of Common Statistical Tests, N. Rao Chaganty, A. K. Vaish
An Invariance Property Of Common Statistical Tests, N. Rao Chaganty, A. K. Vaish
Mathematics & Statistics Faculty Publications
Let A be a symmetric matrix and B be a nonnegative definite (nnd) matrix. We obtain a characterization of the class of nnd solutions Σ for the matrix equation AΣA = B. We then use the characterization to obtain all possible covariance structures under which the distributions of many common test statistics remain invariant, that is, the distributions remain the same except for a scale factor. Applications include a complete characterization of covariance structures such that the chisquaredness and independence of quadratic forms in ANOVA problems is preserved. The basic matrix theoretic theorem itself is useful in other characterizing …
A Nonlinear Deformed Su(2) Algebra With A Two-Color Quasitriangular Hopf Structure, Andrei Ludu
A Nonlinear Deformed Su(2) Algebra With A Two-Color Quasitriangular Hopf Structure, Andrei Ludu
Andrei Ludu
No abstract provided.