Results 51 to 60 of about 5,394,965 (221)

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 rational surfaces [PDF]

, 2020
In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms.
Uehara, Takato
core   +2 more sources

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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Hereditary conjugacy separability of right angled Artin groups and its applications

, 2012
We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
core   +1 more source

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
wiley   +1 more source

Normal automorphisms of relatively hyperbolic groups

, 2010
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin, Osin, Denis, Minasyan, Ashot, A. Minasyan   +3 more
core   +1 more source

On the number of prime order subgroups of finite groups [PDF]

, 2009
Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart, Scott, S.D., Burness, Tim C, Burness, T.C.   +3 more
core   +1 more source

Unitary $L^{p+}$-representations of almost automorphism groups

Comptes Rendus. Mathématique
Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze–Stein property, and let $\pi $ be a unitary representation of $H$. We show that the representation $\widetilde{\pi }$ of $G$ induced from $\pi $ is an $L^{p+}$-representation if ...
Dabeler, Antje, Mai Elkiær, Emilie, Gerasimova, Maria, de Laat, Tim   +3 more
doaj   +1 more source

On the Automorphism Group of a Lie Group [PDF]

Proceedings of the American Mathematical Society, 1974
It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
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