Results 21 to 30 of about 67,282 (171)

Solvable intransitive permutation groups with constant movement [PDF]

Journal of Mahani Mathematical Research
In this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei, Mehdi Alaeiyan, Zeinab Foruzanfar   +2 more
doaj   +1 more source

Elementary abelian subgroups in some special 𝑝-groups [PDF]

Journal of Group Theory, 2019
Abstract Let P be a finite p-group and p an odd prime. Let 𝒜 p ⁢
openaire   +2 more sources

Completely simple endomorphism rings of modules

Applied General Topology, 2018
It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi, Mohamed Salim, Mihail Ursul   +2 more
doaj   +1 more source

Similarity and Coincidence Isometries for Modules [PDF]

, 2010
The groups of (linear) similarity and coincidence isometries of certain modules in d-dimensional Euclidean space, which naturally occur in quasicrystallography, are considered.
Adkins, Baake, Baake, Baake, Baake, Borevich, Pleasants, Scott, Svenja Glied   +8 more
core   +1 more source

p-Groups with maximal elementary abelian subgroups of rank 2

Journal of Algebra, 2010
Let \(G\) be a finite \(p\)-group with the prime \(p\) odd. The main result of the paper is that if the group \(G\) possesses a maximal elementary Abelian subgroup of rank 2 then the group \(G\) has rank at most \(p\), answering a question raised by the second author [in J. Algebra 320, No. 12, 4242-4248 (2008; Zbl 1165.20016)]. For the 2-group case it
Glauberman, George, Mazza, Nadia
openaire   +2 more sources

Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification

Communications in Advanced Mathematical Sciences, 2019
The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
doaj   +1 more source

Symmetric powers and modular invariants of elementary abelian p-groups [PDF]

Journal of Algebra, 2017
Let $E$ be a elementary abelian $p$-group of order $q=p^n$. Let $W$ be a faithful indecomposable representation of $E$ with dimension 2 over a field $k$ of characteristic $p$, and let $V= S^m(W)$ with ...
openaire   +3 more sources

Pseudo-free families of finite computational elementary abelian p-groups [PDF]

Groups Complexity Cryptology, 2017
AbstractWe initiate the study of (weakly) pseudo-free families of computational elementary ...
openaire   +2 more sources

RELATIVE RELATION MODULES OF FINITE ELEMENTARY ABELIAN p-GROUPS [PDF]

Bulletin of the Korean Mathematical Society, 2014
Abstract. Let E be a free product of a finite number of cyclic groups,and S a normal subgroup of E such that E/S∼=Gis finite. For a primep, Sˆ = S/S ′ S p may be regarded as an F p G-module via conjugation inE. The aim of this article is to prove that Sˆ is decomposable into twoindecomposable modules for finite elementary abelian p-groups G.
Mohammad Yamin, Poonam Kumar Sharma
openaire   +1 more source

Relation Between Groups with Basis Property and Groups with Exchange Property

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
A group G is called a group with basis property if there exists a basis (minimal generating set) for every subgroup H of G and every two bases are equivalent.
Khalaf Al Khalaf, Alkadhi Mohammed
doaj   +1 more source