Results 51 to 60 of about 167,102,035 (280)
Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Известия Иркутского государственного университета: Серия "Математика"Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
پژوهشهای ریاضی, 2021 In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
Shirin Fouladi
doaj
Journal of Algebra, 2007 Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
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On the automorphism groups of Frobenius groups [PDF]
Communications in Algebra, 2020 This is one of a series papers which aim towards to solve the problem of determining automorphism groups of Frobenius groups. This one solves the problem in the case where the Frobenius kernels are elementary abelian and Frobenius complements are cyclic.
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AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]
, 2011 Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
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Finite cyclic q-group’s automorphisms with qr -generator
Data Analytics and Applied MathematicsThe finite cyclic q-group, where q being odd prime, requires generators to validate the formation of automorphisms. A summary of cyclic groups, automorphisms, and characteristics is provided as a foundation for this research.
Fatin Hanani Hasan +5 more
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On nilpotent filiform Lie algebras of dimension eight
International Journal of Mathematics and Mathematical Sciences, 2003 The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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Symmetries of quaternionic Kähler manifolds with S1‐symmetry
Transactions of the London Mathematical Society, 2021 We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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A Group of Automorphisms of the Homotopy Groups [PDF]
Nagoya Mathematical Journal, 1951 It is well known that the fundamental group π1(X) of an arcwise connected topological space X operates on the n-th homotopy group πn(X) of X as a group of automorphisms. In this paper I intend to construct geometrically a group 𝒰(X) of automorphisms of πn(X), for every integer n ≥ 1, which includes a normal subgroup isomorphic to π1(X) so that the ...
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