In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

In this paper, we consider the Frobenius endomorphism on twisted Edwards curve and give the characteristic polynomial of the map. Applying the Frobenius endomorphism on twisted Edwards curve, we construct a skew-Frobenius map defined on the quadratic twist of an twisted Edwards curve. Our results show that the Frobenius endomorphism on twisted Edwards curve and the skew-Frobenius endomorphism o...

We prove that the duality operator preserves the Frobenius–Schur indicators of characters of connected reductive groups of Lie type with connected center. This allows us to extend a result of D. Prasad which relates the Frobenius–Schur indicator of a regular real-valued character to its central character. We apply these results to compute the Frobenius–Schur indicators of certain real-valued, i...

A pair of adjoint functors (F,G) is called a Frobenius pair of the second type if G is a left adjoint of βFα for some category equivalences α and β. Frobenius ring extensions of the second kind provide examples of Frobenius pairs of the second kind. We study Frobenius pairs of the second kind between categories of modules, comodules, and comodules over a coring. We recover the result that a fin...

we give further results for perron-frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. we indicate two techniques for establishing the main theorem ofperron and frobenius on the numerical range. in the rst method, we use acorresponding version of wielandt's lemma. the second technique involves graphtheory.

This paper presents the classication of invariant subgroups automorphism groups regular elements obtained from nite local near-rings, appropriate algebraic structure to study non-linear functions on finite groups. Just as rings matrices operate vector spaces, near-rings In this paper, we construct classes zero symmetric near-ring characteristic pk; k = 1; 2 ; \(\ge\) 3 admitting frobenius deriv...

Let x1,…,xn be points in a metric space and define the distance matrix D?Rn×n by Dij=d(xi,xj). The Perron-Frobenius Theorem implies that there is an eigenvector v?Rn with non-negative entries associated to largest eigenvalue. We prove this nearly constant sense inner product vector 1?Rn large?v,1??12??v??2??1??2 each entry satisfies vi??v??2/4n. Both inequalities are sharp.

In the class of Sobolev vector fields in R n bounded divergence, for which theory DiPerna and Lions provides a well defined notion flow, we characterize whose flow commutes terms Lie bracket regularity condition on flows themselves. This extends classical result Frobenius smooth setting. Dans la classe des champs vectoriels de dans avec divergence bornée, pour lesquels théorie et fournit une bo...

In the present paper‎, ‎we propose an iterative algorithm for‎ ‎solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix‎ ‎equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} ‎{underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$‎. ‎By this iterative algorithm‎, ‎the solvability of the problem can be determined automatically‎. ‎When the‎ ‎matrix equation is consistent over...