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Articles 1 - 8 of 8
Full-Text Articles in Algebra
Square Roots Of Finite Groups - Ii, Matthew Devos, David Mcadams, Rebecca Rapoport
Square Roots Of Finite Groups - Ii, Matthew Devos, David Mcadams, Rebecca Rapoport
Mathematical Sciences Technical Reports (MSTR)
A subset R of a finite group G is a square root of G if R2 = G. If R is a square root of G for which |R|2 = G, then R is referred to as a perfect square root of G. It can be shown using character theory that perfect square roots do not exist. The purpose of this paper is to work toward an elementary proof of this result.
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
All HMC Faculty Publications and Research
An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rings) A is called an SV-ring if A/P is a valuation domain for every prime ideal P of A. If M is a maximal ℓ-ideal of A , then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal ℓ-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A …
Square Roots Of Finite Groups, Kashi Abhyankar, Daniel Grossman
Square Roots Of Finite Groups, Kashi Abhyankar, Daniel Grossman
Mathematical Sciences Technical Reports (MSTR)
Let G be a finite group of order n2. A perfect square root of G is a subset X of G such that |X| = n and X2 = G. Neither generalized dihedral groups nor groups of nilpotency class two have perfect square roots.
Finite Groups Can Be Arbitrarily Hamiltonian, Stephen Ahearn, Mark Huber
Finite Groups Can Be Arbitrarily Hamiltonian, Stephen Ahearn, Mark Huber
Mathematical Sciences Technical Reports (MSTR)
Let r be a rational in (0,1]. There exists a finite group G which is the direct product of at most four metacyclic groups and whose proportion of normal subgroups is r. An analogous result holds for three other measures of "Hamiltonianess".
Analytic Besov Spaces And Invariant Subspaces Of Bergman Spaces, William T. Ross
Analytic Besov Spaces And Invariant Subspaces Of Bergman Spaces, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we examine the invariant subspaces (under the operator f -->z f) M of the Bergman space pa (G\T) (where 1 < p < 2, G is a bounded region in C containing D, T is the unit circle, and D is the unit disk) which contain the characteristic functions xD and xG, i.e. the constant functions on the components of G\T. We will show that such M are in one-to-one correspondence with the invariant subspaces of the analytic Besov space ABq (q is the conjugate index to p) and …
Invariant Subspaces Of Bergman Spaces On Slit Domains, William T. Ross
Invariant Subspaces Of Bergman Spaces On Slit Domains, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces Ap(G) and Ap(G\K), where 1 < p < ∞, G is a bounded region in C, and K is a closed subset of a simple, compact, C1 arc.
Hyperinvariant Subspaces Of The Harmonic Dirichlet Space, William T. Ross, Stefan Richter, Carl Sundberg
Hyperinvariant Subspaces Of The Harmonic Dirichlet Space, William T. Ross, Stefan Richter, Carl Sundberg
Department of Math & Statistics Faculty Publications
No abstract provided.
Counting Order Classes Of Triple Products In Finite Groups, Scott Annin, Jennifer Ziebarth
Counting Order Classes Of Triple Products In Finite Groups, Scott Annin, Jennifer Ziebarth
Mathematical Sciences Technical Reports (MSTR)
Let G be a finite group and let WG denote the proportion of triples, (.x:, y , z) , i n G3 for which x yz , x zy, y x z, zx y , yzx , and z y x have the same order. The following results are established.
i) G is abelian if, and only if, WG = 1.
ii) WG can be arbitrarily close to 1.
iii) Additional estimates on WG