Results 231 to 240 of about 1,287 (264)

Odd-degree Rational Irreducible Characters

Acta Mathematica Vietnamica, 2021
A character of a finite group is called \textit{rational} if its values are rational numbers. The authors prove the following theorem, while conjecturing that the assumption about the non-involvement of \(L_2(3^{2f+1})\) is superfluous. Theorem. Let \(G\) be a finite group.
Hung P Tong-Viet   +2 more
exaly   +3 more sources

Irreducible products of characters inA n

Israel Journal of Mathematics, 1993
The author continues his work on the decomposition of products of ordinary irreducible characters. In the present paper he focuses attention on characters of alternating groups, looking for products that are irreducible. He shows that such a product \(\chi\psi\), being irreducible, occurs if and only if the degree \(n \geq 5\) of the alternating group \
exaly   +2 more sources

The Irreducibly Clinical Character of Bioethics

Journal of Medicine and Philosophy, 1991
Current bioethics scholarship and pedagogy suffers from an insufficient correlation with the realities and variables of clinical medicine, particularly in its dominant paradigm of patient autonomy. Reference to various basic clinical factors will be made here toward proposing certain conceptual, tactical and pedagogical modifications to this paradigm.
openaire   +2 more sources

Irreducible products of characters

Journal of Algebra and Its Applications, 2019
We introduce the notion of Fitting characters for arbitrary finite groups, and prove that under some conditions the product of these characters is irreducible and the unique factorization of this form also holds. Moreover, we show that any nonlinear quasi-primitive character of solvable groups can be uniquely factored (up to multiplication by linear ...
Chang, Huimin, Jin, Ping
openaire   +1 more source

Irreducible extensions of characters

Israel Journal of Mathematics, 2019
Suppose that H is a finite group and ξ is a not necessarily irreducible character of H. In this note, we study the question of whether or not there exist a finite group G containing H and an irreducible character χ of G such that the restriction of χ to H is ξ. We also investigate some related questions.
I. M. Isaacs   +2 more
openaire   +1 more source

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