Finite Groups with Nonmonomial Characters of Prime Degree

It is proved that every finite group for which the degrees of its nonmonomial characters are primes is solvable. The proof uses the classification of the finite simple groups.     

Study of Acoustic Noise during Gas Filtration through a Porous Medium

Acoustical Physics - As fluids and gases move through porous media, they generate acoustic noise. It is shown that the shape of the noise spectra is determined by the properties of the fluid and...     

Degrees of irreducible characters of the suzuki 2-groups

The degrees of the irreducible characters of the Suzuki 2-groupsA(m,ϕ) are described. Assume that the order of an automorphism ϕ of the fieldGF (2 ^m ) isk>1,G=A(m,ϕ), and cd (G) is the set of degrees of the irreducible characters ofG. Ifk is odd, then cd(G)={1, 2( ^m−m/k)/2 }, and ifk=2, then cd(G)={1, 2 ^m/2 }. Ifk is even andk≠2 then cd(G)={1,2 ^m/2 , 2 ^m/2−m/k }, and the groupG has (2 ^m −1)2 ^m/k /(2 ^m/k +1) characters of degree2 ^m/2 and (2^m−1)2^2m/k/(2^m/k+1) characters of degree 2^m/2−m/k. Translated fromMatematicheskie Zametki, Vol. 66, No. 2, pp. 258–263, August, 1999.