Results 21 to 30 of about 353,915 (269)

Maximal Compact Normal Subgroups [PDF]

Proceedings of the American Mathematical Society, 1987
A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
openaire   +1 more source

GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES

Colloquium Exactarum, 2011
The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira, Antonio Carlos Tamarozzi, Sônia Angelina Garcia Modesto   +2 more
doaj   +1 more source

Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]

Advances in Group Theory and Applications, 2020
We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko, Patrizia Longobardi, Mercede Maj   +2 more
doaj   +1 more source

Subgroups close to normal subgroups

Journal of Algebra, 1989
Let G be a group and H a subgroup. It is shown that the set of indices \(\{\) [H: \(H\cap gHg^{-1}]|\) \(g\in G\}\) has a finite upper bound n if and only if there is a normal subgroup \(N\trianglelefteq G\) which is commensurable with H; i.e., such that [H:N\(\cap H]\) and [N:N\(\cap H]\) are finite; moreover, the latter indices admit bounds depending
Lenstra, H.W., Bergman, G.
openaire   +2 more sources

The Fubini Theorem for Normal Lie Subgroups of Index 2n

RCT: Revista de Ciência e Tecnologia, 2023
In this paper we present a new proof to generalize the Fubini's Theorem for the even index subgroup of a compact Lie group, using a recent result on the semi-direct product of groups.
Leandro Nery de Oliveira, Marcos Aurélio de Alcântara   +1 more
doaj   +1 more source

Normal Subgroups Contained in Frattini Subgroups are Frattini Subgroups [PDF]

Proceedings of the American Mathematical Society, 1980
We prove that if N is a normal subgroup of the finite group G and if N ⊆ Φ ( G ) N \subseteq \Phi (G) , then there exists a finite group U such that N = Φ ( U ) N = \Phi (U) exactly.
openaire   +1 more source

On certain groups of functions

International Journal of Mathematics and Mathematical Sciences, 1980
Let C(X,G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X)
J. S. Yang
doaj   +1 more source

On CSQ-normal subgroups of finite groups

Open Mathematics, 2016
We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
doaj   +1 more source

On Smarandache Semigroups [PDF]

Kirkuk Journal of Science, 2011
In this work we study some type of Smarandache semigroups and Smarandache subgroups of a semigroup such as Smarandache cyclic semigroups, Smarandache p- Sylow subgroups and Smarandache normal subgroups. In addition we introduce the concept of Smarandache
Parween A. Hummadi, Pishtewa M. Dashtiy
doaj   +1 more source

Some supercharacter theories of a certain group of order $6n$ [PDF]

Journal of Mahani Mathematical Research
In this paper, we are going to obtain some normal supercharacter theories of a group of order $6n$ with the presentation  $ U_{6n} = $ in special cases.
Elham Armioun
doaj   +1 more source