Results 41 to 50 of about 72,032 (249)
Elementary abelian operator groups [PDF]
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.
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Solvable intransitive permutation groups with constant movement [PDF]
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
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2-elements in an Autotopism Group of a Semifield Projective Plane
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
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Finite self-similar p-groups with abelian first level stabilizers
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
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A characterization of elementary abelian 2-groups [PDF]
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
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Rings associated to coverings of finite p-groups [PDF]
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
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Algebraic symmetries of generic $(m+1)$ dimensional periodic Costas arrays
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
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On Algebraic and Definable Closures for Theories of Abelian Groups
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
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Phases of Wilson lines: conformality and screening
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
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Complexity and elementary abelian p-groups
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 ...
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