Results 11 to 20 of about 244 (73)

ON NON-ABELIAN GROUPS OF ORDER 2^n, n >= 4 USING GAP

, 2018
For every natural number n ≥ 4 there are exactly 4 non-abelian groups (up to isomorphism) of order 2, with a subgroup of index 2. In this article, we are going to illustrate all of these groups properties and axioms using Groups, Algorithms and ...
Bilal Naser Al-Hasanat, J. M. Alhasanat, E. M. Salah   +2 more
semanticscholar   +1 more source

A NOTE ON AF-GROUPS AND FNS-GROUPS

, 2017
The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this paper, we will calculate these quantities for Lpn , where p is an odd prime, n ∈ N,n ≥ 3.
H. Behravesh, Shahram Torabikiya
semanticscholar   +1 more source

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
core   +2 more sources

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, A. L. Agore, B. Ion, C Kassel, E Maillet, G. Militaru, H Wielandt, J Douglas, J López Peña, J Rotman, J Szép, J Wiegold, M Giudici, M Takeuchi, O Ore, S Caenepeel   +15 more
core   +2 more sources

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
core   +1 more source

On a conjecture of Frobenius

, 1991
Let G be a finite group and e be a positive integer dividing the order of G. Frobenius conjectured that if the number of elements whose orders divide e equals e , then G has a subgroup of order e .
N. Iiyori, H. Yamaki
semanticscholar   +1 more source

Hypercontractivity on the symmetric group

Forum of Mathematics, Sigma
The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more.
Yuval Filmus, Guy Kindler, Noam Lifshitz, Dor Minzer   +3 more
doaj   +1 more source

On the proportion of derangements in affine classical groups

Forum of Mathematics, Sigma
We derive exact formulas for the proportions of derangements and of derangements of p-power order in the affine classical groups $\operatorname {\mathrm {AU}}_m(q)$ , $\operatorname {\mathrm {ASp}}_{2m}(q)$ , $\operatorname {\mathrm {AO ...
Jessica Anzanello
doaj   +1 more source

On a question of permutation groups acting on the power set

Open Mathematics
In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.
Li Jinbao, Yang Yong, You Mengxi
doaj   +1 more source

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, Jaklič, Gašper, Pisanski, Tomaž   +2 more
core   +1 more source