Results 11 to 20 of about 192 (33)
Characterization of Frobenius Groups of Special Type [PDF]
, 2006 We define a Con-Cos group G to be one having a proper normal subgroup N whose cosets other than N itself are conjugacy classes. It follows easily that N = G’, the derived group of G.
Muktibodh, Arun S.
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On the compositum of all degree d extensions of a number field [PDF]
, 2013 Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic extensions of k of degree less than d lie in k^[d]. We show that this occurs
Gal, Itamar, Grizzard, Robert
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Finite generation of iterated wreath products in product action [PDF]
, 2015 Let $\mathcal{S}$ be a sequence of finite perfect transitive permutation groups with uniformly bounded number of generators. We prove that the infinitely iterated wreath product in product action of the groups in $\mathcal{S}$ is topologically finitely ...
Vannacci, Matteo
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Bicrossed products for finite groups
, 2009 We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written
A. Chirvăsitu +15 more
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On the maximum order of nilpotent transitive permutation groups
, 2014 Given two positive integers n and c, we determine an upper bound, as a function of n and c, for the maximum order of a finite nilpotent transitive group of degree n and nilpotency class at most c.Comment: 14 ...
Crestani, Eleonora, Spiga, Pablo
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On the Number of Hamiltonian Groups [PDF]
, 2005 Finite hamiltonian groups are counted. The sequence of numbers of all groups of order $n$ all whose subgroups are normal and the sequence of numbers of all groups of order less or equal to $n$ all whose subgroups are normal are presented.Comment: 6 pages,
Horvat, Boris +2 more
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Transitive simple subgroups of wreath products in product action
, 2003 A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper.
Baddeley, Robert W. +2 more
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, 2020 This paper proves that there exists a bijection $f$ from a finite group $G$ of order $n$ onto a cyclic group of order $n$ such that for each element $x\in G$ the order of $x$ divides the order of $f(x)$.Comment: The proof has a ...
Amiri, Mohsen
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, 2011 International audiencePerfect nonlinear functions from a finite group $G$ to another one $H$ are those functions $f: G \rightarrow H$ such that for all nonzero $\alpha \in G$, the derivative $d_{\alpha}f: x \mapsto f(\alpha x) f(x)^{-1}$ is balanced.
Poinsot, Laurent
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Algebraic properties of generalized Rijndael-like ciphers [PDF]
, 2012 We provide conditions under which the set of Rijndael functions considered as permutations of the state space and based on operations of the finite field $\GF (p^k)$ ($p\geq 2$ a prime number) is not closed under functional composition.
B. Scott +5 more
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