Finite Groups Isospectral to Simple Groups

نویسندگان

چکیده

The spectrum of a finite group is the set element orders this group. main goal paper to survey results concerning recognition simple groups by spectrum, in particular, list all for which problem solved.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Isospectral Cayley Graphs of Some Finite Simple Groups

We apply spectral analysis of quotients of the BruhatTits buildings of type Ãd−1 to construct isospectral non-isomorphic Cayley graphs of the finite simple groups PSLd(Fq) for every d ≥ 5 (d 6= 6) and prime power q > 2.

متن کامل

Finite Permutation Groups and Finite Simple Groups

In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced. Of course, the solution will have a considerable effect on many related areas, both wi...

متن کامل

Simple groups of finite

The Algebraicity Conjecture treats model-theoretic foundations of algebraic group theory. It states that any simple group of finite Morley rank is an algebraic group over an algebraically closed field. In the mid-1990s a view was consolidated that this project falls into four cases of different flavour: even type, mixed type, odd type, and degenerate type. This book contains a proof of the conj...

متن کامل

A Simple Classification of Finite Groups of Order p2q2

‎Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, ‎respectively‎. ‎In this paper‎, ‎we show that up to isomorphism‎, ‎there are four groups of order p^2q^2 when Q and P are cyclic‎, ‎three groups when Q is a cyclic and P is an elementary ablian group‎, ‎p^2+3p/2+7 groups when Q is an elementary ablian group an...

متن کامل

Isospectral Metrics and Potentials on Classical Compact Simple Lie Groups

Given a compact Riemannian manifold (M,g), the eigenvalues of the Laplace operator ∆ form a discrete sequence known as the spectrum of (M,g). (In the case the M has boundary, we stipulate either Dirichlet or Neumann boundary conditions.) We say that two Riemannian manifolds are isospectral if they have the same spectrum. For a fixed manifold M , an isospectral deformation of a metric g0 on M is...

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: Communications in mathematics and statistics

سال: 2022

ISSN: ['2194-671X', '2194-6701']

DOI: https://doi.org/10.1007/s40304-022-00288-5