Results 41 to 50 of about 72,032 (249)

Elementary abelian operator groups [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1972
Suppose G is a finite solvable p′-group admitting the elementary abelian p–group A as an operator group. if n = max{nilpotent length of CG(X)| X ∈ A#} and |A| ≥ pn+2, then the nilpotent length of G is n.
openaire   +1 more source

Solvable intransitive permutation groups with constant movement [PDF]

open access: yesJournal 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   +2 more
doaj   +1 more source

2-elements in an Autotopism Group of a Semifield Projective Plane

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj   +1 more source

Finite self-similar p-groups with abelian first level stabilizers

open access: yes, 2010
We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A.   +9 more
core   +1 more source

A characterization of elementary abelian 2-groups [PDF]

open access: yesArchiv der Mathematik, 2013
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
openaire   +3 more sources

Rings associated to coverings of finite p-groups [PDF]

open access: yes, 2016
In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core   +1 more source

Algebraic symmetries of generic $(m+1)$ dimensional periodic Costas arrays

open access: yes, 2012
In this work we present two generators for the group of symmetries of the generic $(m+1)$ dimensional periodic Costas arrays over elementary abelian $(\mathbb{Z}_p)^m$ groups: one that is defined by multiplication on $m$ dimensions and the other by shear
Arce-Nazario, Rafael   +4 more
core   +1 more source

On Algebraic and Definable Closures for Theories of Abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

Phases of Wilson lines: conformality and screening

open access: yesJournal of High Energy Physics, 2023
We study the rich dynamics resulting from introducing static charged particles (Wilson lines) in 2+1 and 3+1 dimensional gauge theories. Depending on the charges of the external particles, there may be multiple defect fixed points with interesting ...
Ofer Aharony   +4 more
doaj   +1 more source

Complexity and elementary abelian p-groups

open access: yesJournal of Algebra, 1984
One of the main differences between ordinary and modular representation theory of finite groups is the existence of nonprojective modules in the modular representation algebra. However, given a finitely generated module M over the group algebra kG, where k is a field of characteristic p > 0, there exists a uniquely determined (up to kG-isomorphism ...
openaire   +2 more sources

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