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[PDF] Some Applications of the Theory of Blocks of Characters of ...


Some Applications of the Theory of Blocks of Characters of Finite ...

We shall state here some significant facts and refer for details to the papers quoted in Section I. A p-block B of G is a set of irreducible representations of ...

Some Applications of the Theory of Blocks of Characters of Finite ...

We add some fairly obvious remarks. PROPOSITION (3E). If x is an irreducible character in the block B and if B has the defect group D, ...

Some Applications of the Theory of Blocks of Characters of Finite ...

Throughout the paper, G will be a finite group and p will be a fixed prime number. In a preliminary. Section II, two series of characteristic subgroups are.

Some applications of the theory of blocks of characters of finite ...

Brauer, W Feit On the number of irreducible characters of finite groups in a given block Proc. Natl. Acad. Sci., 45 (1959), pp. 361-365

[PDF] Some Applications of the Theory of Blocks of Characters of ...

Semantic Scholar extracted view of "Some Applications of the Theory of Blocks of Characters of Finite Groups. II*" by Richard Bkaubr et al.

Some applications of the theory of blocks of characters of finite ...

Semantic Scholar extracted view of "Some applications of the theory of blocks of characters of finite groups IV" by R. Brauer.

Modular representation theory of finite groups

Some applications of the theory of blocks of characters of finite groups. I. J. Algebra, 1:152–167, 1964. [Isa06] I. M. Isaacs. Character theory of finite ...

Blocks and Their Characters - SpringerLink

Download book PDF · Representation Theory of ... Richard Brauer, Some applications of the theory of blocks of characters of finite groups.

REAL CHARACTERS IN BLOCKS

However, we do not know any such example for the principal block, or for blocks ... Brauer: Some applications of the theory of blocks of characters of finite ...

Brauer, R. (1971) Some Applications of the Theory of Blocks of ...

Brauer, R. (1971) Some Applications of the Theory of Blocks of Characters of Finite Groups IV. Journal of Algebra, 17, 489-521.

Characters and blocks of finite groups, by Gabriel Navarro ...

Much research in block theory has been guided by a few major conjectures. Before stating some of these, we recall that if B is a p-block of G ...

Exceptional character theory and the theory of blocks - SpringerLink

— Some applications of the theory of blocks of characters of finite groups I. J. ... Download PDF. Advertisement. Over 10 million scientific documents at ...

Actions and characters in blocks - ResearchGate

So θ as a character of N extends to Q. Now suppose that Q/N is a q-group for some q = p and recall the bijection dz(Q/D) → rdz(Q|ν) from [14] .

RICHARD DAGOBERT BRAUER - National Academy of Sciences

“Some applications of the theory of blocks of characters of finite groups I”, J. Algebra, 1 (1964), 152-167. 86. “Some applications of the theory of blocks ...

Applications of character theory of finite simple groups

... few Jordan blocks, and the possiblities for the centralizers of such elements are given by [35, Chapter 7]. Next, Theorem 3.2 shows that there is a ...

CHARACTER THEORY OF FINITE GROUPS WITH TRIVIAL ...

Brauer, Some applications of the theory of blocks of finite groups, I. J. Algebra, 1. (1964), 152-167. [ 5 ] E. Dade, Lifting group characters,Ann. of Math ...

Characters and Blocks of Finite Groups

Large orbits ofp-groups on characters and applications to character degrees. ... PDF; Export citation. Select Chapter 9 - Blocks and Normal Subgroups. Chapter ...

Some Applications of Representation Theory to Classical Number ...

theory of blocks for Sn ([11]). Theorem. p(n) = n t=0. 4w+t (t+1)=2n w l=0 p(l)p(w − l). 2. Zeta Functions on Number Fields. The Dedekind zeta function of an ...

Some applications of finite group theory in the design of experiments

The set of treatments is identified with a finite Abelian group, and the blocks are all translates of one or more initial blocks. The characters ...

On k(D)-Blocks - Scientific Research Publishing

(1964) Some Applications of the Theory of Blocks of Characters of Finite Groups I. Journal of Algebra, 1,. 152-167. http://dx.doi.org/10.1016/0021-8693(64) ...