scholarly journals Group characters, permutation actions and sharpness

2003 ◽  
Vol 24 (2) ◽  
pp. 173-182
Author(s):  
Kenneth W. Johnson ◽  
Eirini Poimenidou
Keyword(s):  
Group Characters ◽  
Permutation Actions

A Dual View of the Clifford Theory of Characters of Finite Groups, II

1973 ◽  
Vol 25 (5) ◽  
pp. 1113-1119 ◽  
Author(s):  
Richard L. Roth
Keyword(s):  
Finite Group ◽  
Normal Subgroup ◽  
Finite Groups ◽  
Group Characters ◽  
Clifford Theory ◽  
A Finite Group ◽  
Permutation Actions

This paper continues the analysis of Clifford theory for the case of a finite group G, K a normal subgroup of G and G/K abelian which was developed in [7]. In [7] the permutation actions of G/K on the characters of K and of (G/K)^ on the characters of G were studied in relation to their effects on induction and restriction of group characters.

Taxonomic studies in wall barley (Hordeum murinum) and sea barley (Hordeum marinum). 1. Character investigation: assessment of new and traditional characters

1984 ◽  
Vol 62 (4) ◽  
pp. 753-762 ◽  
Author(s):  
Bernard R. Baum ◽  
L. Grant Bailey
Keyword(s):  
Data Analysis ◽  
Numerical Analysis ◽  
Exploratory Data Analysis ◽  
Subsequent Paper ◽  
Natural Habitats ◽  
Group Characters ◽  
Hordeum Murinum ◽  
Exploratory Data ◽  
Taxonomic Studies

In the literature about 60 taxa have been described at various taxonomic levels in the wall barley – sea barley group. Considerably less confusion exists between wall and sea barley than within. It appears that five taxa have been recognized and are likely to be valid, but there has been disagreement as to their status. The authors have investigated new micromorphologic characters and reexamined and critically defined traditional characters of material collected throughout the area of the natural habitats of the group. Characters taken from the seed epiblast and the floral lodicules were found useful for conclusively distinguishing between Hordeum murinum (sensu lato), H. glaucum, and H. marinum (sensu lato). Exploratory data analysis of 35 other characters investigated supports this distinction. Thus, in this particular paper three taxa are tentatively recognized. In the subsequent paper the validity of the three taxa will be tested by numerical analysis, and furthermore the possibility of five taxa will be investigated and similarly tested.

scholarly journals On the number of orbits of a group in two permutation actions

1993 ◽  
Vol 60 (5) ◽  
pp. 420-424 ◽  
Author(s):  
David M. Evans ◽  
Johannes Siemons
Keyword(s):  
Permutation Actions

High speed computation of group characters

1967 ◽  
Vol 10 (5) ◽  
pp. 446-450 ◽  
Author(s):  
John D. Dixon
Keyword(s):  
High Speed ◽  
Group Characters

Group Characters

2018 ◽  
pp. 131-142
Author(s):  
Victor E. Hill ◽  
Thomas T. Read
Keyword(s):  
Group Characters

On Pólya's Theorem

1967 ◽  
Vol 19 ◽  
pp. 792-799 ◽  
Author(s):  
J. Sheehan
Keyword(s):  
Finite Groups ◽  
Scalar Product ◽  
Combinatorial Analysis ◽  
Simple Extension ◽  
Group Characters ◽  
Polya's Theorem ◽  
Representations Of Finite Groups ◽  
Pólya’S Theorem ◽  
Special Case ◽  
Superposition Theorem

In 1927 J. H. Redfield (9) stressed the intimate interrelationship between the theory of finite groups and combinatorial analysis. With this in mind we consider Pólya's theorem (7) and the Redfield-Read superposition theorem (8, 9) in the context of the theory of permutation representations of finite groups. We show in particular how the Redfield-Read superposition theorem can be deduced as a special case from a simple extension of Pólya's theorem. We give also a generalization of the superposition theorem expressed as the multiple scalar product of certain group characters. In a later paper we shall give some applications of this generalization.

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