Results 41 to 50 of about 235,315 (244)
An approach to Quillen’s conjecture via centralisers of simple groups
Forum of Mathematics, Sigma, 2021 For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
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Sultan Qaboos University Journal for Science, 2009 The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
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Elementary abelian operator groups [PDF]
Bulletin 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.
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Solvable intransitive permutation groups with constant movement [PDF]
Journal of Mahani Mathematical ResearchIn 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
Известия 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
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A characterization of elementary abelian 2-groups [PDF]
Archiv der Mathematik, 2013 In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
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On Algebraic and Definable Closures for Theories of Abelian Groups
Известия 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
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Phases of Wilson lines: conformality and screening
Journal 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
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Self-complementary distance-regular Cayley graphs over abelian groups [PDF]
arXiv, 2023 In this paper, we study self-complementary distance-regular Cayley graphs over abelian groups. We prove that if a regular graph is self-complementary distance-regular, then it is self-complementary strongly regular. We also deal with self-complementary strongly regular Cayley graphs over abelian groups and give an example of a self-complementary ...
arxiv
Complexity and elementary abelian p-groups
Journal 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 ...
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