共查询到20条相似文献,搜索用时 11 毫秒
1.
Amin Saeidi 《Quaestiones Mathematicae》2016,39(4):523-530
In this paper, we study finite 2-groups in which distinct nonlinear irreducible characters have distinct kernels. We prove several results concerning these groups and completely classify 2-groups with at most five nonlinear irreducible characters satisfying this property. 相似文献
2.
Let p be an odd prime number. We describe the Whitehead group of all extra-special and almost extra-special p-groups. For this we compute, for any finite p-group P, the subgroup of , in terms of a genetic basis of P. We also introduce a deflation map , for a normal subgroup N of P, and show that it is always surjective. Along the way, we give a new proof of the result describing the structure of , when P is an elementary abelian p-group. 相似文献
3.
2–3 graphs in which each vertex is adjacent to at least two vertices of degree 3 are shown to be characterised by the number of vertices of degree 3 adjacent to vertices of degree 3 only. 相似文献
4.
Matthew Hirn 《Linear algebra and its applications》2010,432(5):1105-1125
Harmonic frames of prime order are investigated. The primary focus is the enumeration of inequivalent harmonic frames, with the exact number given by a recursive formula. The key to this result is a one-to-one correspondence developed between inequivalent harmonic frames and the orbits of a particular set. Secondarily, the symmetry group of prime order harmonic frames is shown to contain a subgroup consisting of a diagonal matrix as well as a permutation matrix, each of which is dependent on the particular harmonic frame in question. 相似文献
5.
Let S(Gσ) be the skew adjacency matrix of the oriented graph Gσ of order n and λ1,λ2,…,λn be all eigenvalues of S(Gσ). The skew spectral radius ρs(Gσ) of Gσ is defined as max{|λ1|,|λ2|,…,|λn|}. In this paper, we investigate oriented graphs whose skew spectral radii do not exceed 2. 相似文献
6.
Randall R. Holmes 《Linear and Multilinear Algebra》2004,52(2):133-143
Studied is an assumption on a group that ensures that no matter how the group is embedded in a symmetric group, the corresponding symmetrized tensor space has an orthogonal basis of standard (decomposable) symmetrized tensors. 相似文献
7.
Nikolaos S. Papageorgiou Eugénio M. Rocha Vasile Staicu 《Nonlinear Analysis: Theory, Methods & Applications》2008
We consider a parametric nonlinear elliptic inclusion with a multivalued p-Laplacian-like differential operator and a nonsmooth potential (hemivariational inequality). Using a variational approach based on the nonsmooth critical point theory, we show that for all the values of the parameter in an open half-line, the problem admits at least two nontrivial solutions. Our result extends a recent one by Kristály, Lisei, and Varga [A. Kristály, H. Lisei, C. Varga, Multiple solutions for p-Laplacian type operator, Nonlinear Anal. 68 (5) (2008) 1375–1381]. 相似文献
8.
In this note, we show that if
is a π-partial character of the π-separable group
is a chain of normal subgroups of G, and H is a Hall π-subgroup of G, then
has a Fong character α
Irr(H) such that for every subgroup
, every irreducible constituent of α
H∩N
is Fong for N. We also show that if
is quasi-primitive, then for every normal subgroup M of G the irreducible constituents of
are Fong for M.
Received: 21 July 2006 Revised: 17 January 2007 相似文献
9.
10.
《Journal of Number Theory》2003,101(1):32-47
Ostrowski established in 1919 that an absolutely irreducible integral polynomial remains absolutely irreducible modulo all sufficiently large prime numbers. We obtain a new lower bound for the size of such primes in terms of the number of integral points in the Newton polytope of the polynomial, significantly improving previous estimates for sparse polynomials. 相似文献
11.
We prove a relative version of the theorem of Webb that the augmented chain complex of the p-subgroup complex of a finite group, considered as a complex of modules for the group, is homotopy equivalent to a complex of projectives. This allows us to take into account the group of automorphisms of the group. 相似文献
12.
John Bamberg S.P. Glasby Luke Morgan Alice C. Niemeyer 《Journal of Pure and Applied Algebra》2018,222(10):2931-2951
Let be a prime. For each maximal subgroup with , we construct a d-generator finite p-group G with the property that induces H on the Frattini quotient and . A significant feature of this construction is that is very small compared to , shedding new light upon a celebrated result of Bryant and Kovács. The groups G that we exhibit have exponent p, and of all such groups G with the desired action of H on , the construction yields groups with smallest nilpotency class, and in most cases, the smallest order. 相似文献
13.
Thierry Coulbois 《Archive for Mathematical Logic》2001,40(7):523-524
F. Oger proved that if A is a finite group, then the class of groups which are abelian-by-A can be axiomatized by a single first order sentence. It is established here that, in Oger's result, the word abelian cannot
be replaced by group.
Received: 15 March 1996 / Published online: 18 July 2001 相似文献
14.
Let n≥23 be an integer and let D2n be the dihedral group of order 2n. It is proved that, if g1,g2,…,g3n is a sequence of 3n elements in D2n, then there exist 2n distinct indices i1,i2,…,i2n such that gi1gi2?gi2n=1. This result is a sharpening of the famous Erd?s-Ginzburg-Ziv theorem for G=D2n. 相似文献
15.
Pradeep K. Rai 《Journal of Pure and Applied Algebra》2018,222(2):316-322
Let G be a special p-group minimally generated by elements and having derived subgroup of order . Berkovich asked to find the Schur multiplier and covering groups of such groups G Berkovich and Janko (2011) [1]. We try to give an answer to this question in this article. 相似文献
16.
D. Joyner 《Archiv der Mathematik》2003,81(2):113-120
The result here answers the following questions in the affirmative: Can
the Galois action on all abelian (Galois) fields $K/\mathbb{Q}$ be realized
explicitly via an action on characters of some finite group? Are all
subfields of a cyclotomic field of the form $\mathbb{Q}(\chi)$, for some
irreducible character $\chi$ of a finite group G? In particular, we
explicitly determine the Galois action on all irreducible characters of
the generalized symmetric groups. We also determine the smallest
extension of $\mathbb{Q}$ required to realize (using matrices) a given
irreducible representation of a generalized symmetric group.
Received: 18 February 2002 相似文献
17.
In this paper, we consider the usual and generalized order-k Fibonacci and Pell recurrences, then we define a new recurrence, which we call generalized order-k F–P sequence. Also we present a systematic investigation of the generalized order-k F–P sequence. We give the generalized Binet formula, some identities and an explicit formula for sums of the generalized order-k F–P sequence by matrix methods. Further, we give the generating function and combinatorial representations of these numbers. Also we present an algorithm for computing the sums of the generalized order-k Pell numbers, as well as the Pell numbers themselves. 相似文献
18.
19.
Gabriel Navarro Benjamin Sambale Pham Huu Tiep 《Journal of Pure and Applied Algebra》2018,222(11):3721-3732
We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block. 相似文献
20.
Peter Müller 《Archiv der Mathematik》2005,85(1):15-17
A transitive permutation group of prime degree is doubly transitive or solvable. We give a direct proof of this theorem by Burnside which uses neither S-ring type arguments nor representation theory.Received: 9 December 2004 相似文献