Results 41 to 50 of about 174,454,425 (228)

Coleman automorphisms of finite groups with a self-centralizing normal subgroup [PDF]

, 1964
summary:Let $G$ be a finite group with a normal subgroup $N$ such that $C_{G}(N)\leq N$. It is shown that under some conditions, Coleman automorphisms of $G$ are inner.
Hai, Jinke, Donald B. Coleman
core   +1 more source

Finite cyclic q-group’s automorphisms with qr -generator

Data Analytics and Applied Mathematics
The 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, Mohd Sham Mohamad, Yuhani Yusof, Nor Amirah Mohd Busul Aklan, Siti Hasanah Jusoo, Ekkasit Sangwisut   +5 more
doaj   +1 more source

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  

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

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 ...
openaire   +3 more sources

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
doaj   +1 more source

Partial Steiner Triple Systems With an Almost Parallel Class Missing Any Given Point

Journal of Combinatorial Designs, EarlyView.
ABSTRACT We say that a hypergraph is factor critical if it has no 1‐factor but deletion of any vertex results in a hypergraph that has a 1‐factor. We show that any factor‐critical hypergraph of order n $n$ has at least n $n$ edges, and that for all integers k > 1 $k\gt 1$ and n > 1 $n\gt 1$ with n ≡ 1 ( mod k ) $n\equiv 1({\rm{mod}}\,k)$ there exists a
Darryn Bryant, Sara Davies, Jack Neubecker   +2 more
wiley   +1 more source

Automorphisms of free braided nonassociative algebras of rank 2

Қарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip, B.A. Duisengaliyeva, A.S. Naurazbekova   +2 more
doaj   +1 more source

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
doaj   +1 more source

Groups with finitely many conjugacy classes and their automorphisms

, 2009
We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
core   +1 more source