Results 21 to 30 of about 877 (71)
THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
doaj +1 more source
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
Total characters and Chebyshev polynomials
The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polynomial with integer coefficients in a single irreducible character. In this paper, we give a complete answer to Johnson′s question for all finite dihedral groups.
Eirini Poimenidou, Homer Wolfe
wiley +1 more source
A note on the subclass algebra
Each irreducible character of the subclass algebra is paired up with its irreducible module.
John Karlof
wiley +1 more source
Recognition by character degree graph and order of simple groups of order less than 6000
Let G be a finite group. The character degree graph of G, which is denoted by .G/, is the graph whose vertices are the prime divisors of the character degrees of the group G and two vertices p1 and p2 are joined by an edge if p1p2 divides some character ...
B. Khosravi +3 more
semanticscholar +1 more source
On the projective height zero conjecture
Recently, Malle and Navarro put forward a projective version of Brauer's celebrated height zero conjecture on blocks of finite groups. In this short note we show that Brauer's original conjecture implies the projective version.Comment: 2 ...
Sambale, Benjamin
core +1 more source
On finite groups with their character tables having at most p+1 zeros in each column
In the present paper, the authors classify finite solvable groups whose character tables have at most p+1 zeros in each column, where p is the minimal prime divisor of their orders. MSC:20C15.
Yanxiong Yan, Haijing Xu, Guiyun Chen
semanticscholar +2 more sources
A Note on Skew Characters of Symmetric Groups
In previous work Regev used part of the representation theory of Lie superalgebras to compute the values of a character of the symmetric group whose decomposition into irreducible constituents is described by semistandard $(k,\ell)$-tableaux.
Taylor, Jay
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Regular orbits of coprime linear groups in large characteristic
We prove that a finite coprime linear group G in characteristic p>=(|G|-1)/2 has a regular orbit. This bound on p is best possible.
BENJAMIN SAMBALE, Hartley, Köhler
core +1 more source
Extending characters from Hall subgroups.
Suppose that G is a finite π-separable group. A classical result asserts that all irreducible characters of a Hall π-subgroup H of G extend to G if and only if H has a normal complement in G.
G. Malle, G. Navarro
semanticscholar +1 more source

