Counting characters in linear group actions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Counting characters in linear group actions

Let G be a finite group and V be a finite G–module. We present upper bounds for the cardinalities of certain subsets of Irr(GV ), such as the set of those χ ∈ Irr(GV ) such that, for a fixed v ∈ V , the restriction of χ to 〈v〉 is not a multiple of the regular character of 〈v〉. These results might be useful in attacking the non–coprime k(GV )–problem.

متن کامل

Group characters, permutation actions and sharpness

We extend the work which has appeared in papers on sharp characters and originated with Blichfeldt and Maillet to the Burnside ring of a finite group G. We show that the polynomial whose zeros are the set of marks of non-identity subgroups on a faithful G-set X evaluated at X is an integral multiple of the regular G-set, and deduce a result about the size of a base of X . Further consequences f...

متن کامل

Reconstructing finite group actions and characters from subgroup information

Holroyd, F.C., Reconstructing finite group actions and characters from subgroup information, Discrete Mathematics 110 (1992) 283-287. A finite group G is said to be action reconstructible if, for any action of G on a finite set, the numbers of orbits under restriction to each subgroup always give enough information to reconstruct the action up to equivalence. G is character reconstructible if, ...

متن کامل

Linear and Nonlinear Group Actions , and The

One of the simplest and most useful notions in mathematics is that of a group action: if G is a group and X is a nonempty set, then an action of G o n X or a G-set structure on X consists of a multiplication operation G X ! X, with the image of a pair g;x written as, say, gx, with the following axioms satissed: 1 1x = x for all x 2 X here 1 2 G is the identity element o f G; 2 ghx = ghx for all...

متن کامل

Rational Fixed Points for Linear Group Actions

Pietro Corvaja §1 Introduction. A general principle in the theory of diophantine equations asserts that if an equation admits " many " rational solutions, there should be a geometric reason explaining such abundance. We consider here a (multiplicative) semigroup of N ×N matrices with rational entries: we suppose that all of them admit rational eigenvalues and deduce the natural geometrical cons...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2009

ISSN: 0021-2172,1565-8511

DOI: 10.1007/s11856-009-0054-5