[PDF] Top 20 Finite irreducible linear 2-groups of degree 4
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Finite irreducible linear 2-groups of degree 4
... If 4'^ is nonzero then |ker4'^| = also by Lemma ...a finite group G, a G-module M and all i > 1, H'{G,M) has exponent at most ...= 2, H^{{a),Bx) has order at most ...[as groups, not ... See full document
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Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms - Simplified Setting for Small Characteristic Finite Fields
... an irreducible degree 4 polynomial from the first group of the form (9) is heuristically ...such groups, the proportion of discrete logarithms that are left unknown is 1/2 k ... See full document
21
Characterization of some simple $K_4$-groups by some irreducible complex character degrees
... ii. Let M = Sz(32). Then |G| = |Sz(32)| = 2 10 · 5 2 · 31 · 41 and χ(1) = s(G) = s(Sz(32)) = 5 2 · 41. Also, Sz(32) is the only non-abelian simple group mentioned in Lemma 1.6 such that the set of ... See full document
14
On the number of the irreducible characters of factor groups
... classified finite solvable groups G in which the set K(G) = {ξ(N )|N E G, N 6= G} contains at most three ...solvable groups G, |C(G)| = 2 if and only if |K(G)| = ...solvable groups G ... See full document
6
Finite groups with non-trivial intersections of kernels of all but one irreducible characters
... consider finite groups G satisfying the following condition: G has two columns in its character table which differ by exactly one ...such groups exist and they are exactly the finite ... See full document
18
Finite simple groups with number of zeros slightly greater than the number of nonlinear irreducible characters
... (mod 4), and write q = 4r + ...orders 2, r, 2r, respectively, so no two of them are conjugate in ...every irreducible character of G of degree q − 1 vanishes on a, b, c (see ...four ... See full document
8
Irreducible representations of some finite groups and galois stability of integral representations
... dihedral groups are of great interest to many researchers since many years before until ...dihedral groups have been done. In 1942, Miller [2] studied on the automorphism of the dihedral ...dihedral ... See full document
28
The Number Irreducible Constituents Permutation Representation of G
... permutation groups and finid the permutation groups of prime degree and related classes of Groups (See (4)), From years 1906 to ...primitive groups and finding the primitive ... See full document
9
Metacyclic groups of odd order
... of irreducible represen tations of the centre of the Fitting subgroup with core-free kernel, we need to determine all core-free subgroups of Z( F) with cyclic ...of finite cyclic groups to determine ... See full document
104
On some integral representations of groups and global irreducibility
... a finite group G ⊂ GL(n, R) such that G spans M (n, R) over ...a finite group G ⊂ GL(n, F ) over an algebraic number field F is globally irreducible if for every non-archimedian valuation v of F the ... See full document
14
Simple Groups and Related Topics
... (2 4 : (2 ×5)) of order 160 has the distinct irreducible characters χ (1) , χ (2) , ...different irreducible characters; one of degree 2 and the other of ... See full document
306
On certain finite linear groups of prime degree
... CHAPTER I INTRODUCTION 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
48
On nonsolvable groups whose prime degree graphs have four vertices and one triangle
... 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 degree graphs have ... See full document
6
Primitive irreducible linear groups
... of degree k h a s order at most (Dixon 1 9 6 7 , page 4 1 8 ) , so our assumption of imprimitivity leads to the conclusion that P has order at most ... See full document
53
Novel Pipelined Scalable Systolic Multiplier Based on Irreducible All One Polynomials
... Design of pipeline breaks down in to linear method of different phases. A phase conducts a specific work and creates a middle of the road result. It contains an info hook, otherwise called a register and a ... See full document
9
The irreducible subgroups of exceptional algebraic groups
... Kac-Moody groups, geometric invariant theory, Lie algebras and representation ...Kac-Moody groups by Caprace in [Cap09] and more generally for twin buildings in ...algebraic groups, as introduced by ... See full document
197
Galois Groups of Polynomials and the Construction of Finite Fields
... Abstract: In this note an attempt was made in constructing finite fields with the aid of Galois groups of polynomials of small degree. The properties of these polynomials, their base fields and their ... See full document
7
Irreducible representation of finite metacyclic group of nilpotency class two of order 16
... metacyclic groups. The study of metacyclic groups has been done in ...the irreducible representation of finite metacyclic groups is ...of irreducible representations, characters, ... See full document
18
Irreducible Representations of Groups of Order 8
... Abstract Irreducible representations of a group provide the ways for labelling or- bitals, determining molecular orbitals formation and determining vibrational motions for a ...of irreducible ... See full document
16
Descending Central Series of Free Pro-p-Groups
... lower 2-central series of a ...lower 2-central series, and its connection with Galois cohomology and quadratic ...the groups H 3 (S [m] ) → H 3 (S [m+1] ) is not trivial but based on calculations ... See full document
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