# [PDF] Top 20 On certain finite linear groups of prime degree

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### On certain finite linear groups of prime degree

... In studying finite linear groups of fixed degree over the complex field, it is convenient to restrict attention to irreducible, unimodular, and quasiprimitive grou[r] ... See full document

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### Finite irreducible linear 2-groups of degree 4

... distinct **groups**, all in the third line (and with = 0), precisely one with the three parameters in increasing ...six **groups** depend on the parameter values of G , since it follows from what has been said so ... See full document

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### Finite Groups with Certain Permutability Criteria

... 1. Introduction Throughout this note, G denotes a **finite** group. The relationship between the proper- ties of the Sylow subgroups of a group G and its structure has been investigated by many authors. Starting from ... See full document

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### The Multiplicative Degree of Some Finite Groups

... In mathematics, there is a branch related with the study of uncertainty named probability. This probability can be applied to another field of mathematics such as group theory. The results obtained are very interesting ... See full document

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### Formation theoretic properties of certain locally finite groups

... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the **Degree** of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/63211 This thesis is made available ... See full document

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### On finite groups having a certain number of cyclic subgroups

... of **prime** numbers dividing the order of G, Ο(n) denotes the Euler function that counts the positive integers less than n that are relatively **prime** to n, F(G) denotes the subgroup generated by all normal ... See full document

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### Certain finite abelian groups with the Redei $k$-property

... Proof. Let n be the number of the not necessarily distinct **prime** divisors of |G|. Let us denote the **prime** |A| by p. The factorization G = AB implies that |G| = |A||B|. In the special case n = 1 it follows ... See full document

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### Convergence and limits of linear representations of finite groups

... of **linear** representations of **finite** **groups** over fi- nite ...free **groups** in continuous algebras. We show that under a **certain** inte- grality condition, the algebras above are skew ... See full document

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### Linear groups saturated by subgroups of finite central dimension

... Therefore consider a case when K is **finite**. Being **finite**, K is soluble. Then D = [K, K ] 6= K. If we suppose that a set Ξ (K/D) contains two different primes, then K is a product of two proper normal ... See full document

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### COMMUTATIVITY DEGREE, ITS GENERALIZATIONS, AND CLASSIFICATION OF FINITE GROUPS

... In Chapter 1, we briefly recall a few definitions and well-known results from several relevant topics, which constitute the minimum prerequisites for the subsequent chapters. In this chapter, we also fix **certain** ... See full document

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### The precise value of commutativity degree in some finite groups

... any **finite** split metacyclic ππ -group for an odd **prime** ππ , that is, πΊπΊ = π»π» β πΎπΎ for subgroups π»π» and πΎπΎ , and if |π»π»| = ππ πΌπΌ and |πΎπΎ| = ππ πΌπΌ +π½π½ , then there exist ... See full document

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### The structure of infinite dimensional linear groups satisfying certain finiteness conditions

... is **finite** for every π β ...a **linear** group does not define a class of **groups**, since it heavily relies in the way in which the **linear** group πΊ is embedded in a particular general **linear** ... See full document

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### CANONICAL DESCRIPTION OF GROUP THEORY: A LINEAR ORDER ON ALL FINITE GROUPS

... g 3 g 4 e g 1 g 2 g 4 e g 1 g 2 g 3 If we had chosen any non trivial object, , g 1 , at the beginning, we would end up with the same table. All we would be doing is changing the symbols with respect to positions, but the ... See full document

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### A New Encoding Framework for Predicate Encryption with Non-Linear Structures in Prime Order Groups

... stricter structural restrictions. They defines the scheme satisfying those restrictions as a regular encoding. For example, h i h i 0 cannot be used and computed in their framework. The work of Kim et al. [16, 1] also ... See full document

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### On nonsolvable groups whose prime degree graphs have four vertices and one triangle

... the **prime** **degree** graphs contain many edges and thus they should have many triangles, so one of the cases that would be interesting is to consider those **finite** **groups** whose **prime** ... See full document

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### Finite groups with all maximal subgroups of prime or prime square index

... We shall prove that the structure of this group W as a vector space is isomorphic to the Kronecker product of t two dimensional.. vector spaces and that the repre[r] ... See full document

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### An introduction to the linear representations of finite groups

... is an infinitely differentiable action of a compact group G on a real manifold X then every real valued function invariant with respect to G possesses extrema on each stratum correspondi[r] ... See full document

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### Prime power lie algebras and finite p groups

... a **prime** p greater than or equal to the positive integer n, a natural, but not functorial, one-to-one correspondence between isoΒ morphism classes of **finite** **groups** of order p" whose derived subgroup ... See full document

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### Sets of prime power order generators of finite groups

... have **prime** power orders. So also in arbitrary **groups** we want to consider sets of **prime** power order ...has **prime** power order, while by p-element, as usual, we mean an element of order being a ... See full document

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### Quasirecognition by prime graph of finite simple groups ${}^2D_n(3)$

... all **prime** divisors of n. If G is a **finite** group, then Ο(|G|) is denoted by ...The **prime** graph Ξ(G) of a **finite** group G is defined as a graph with vertex set Ο(G) in which two distinct primes ... See full document

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