Results 11 to 20 of about 6,200,949 (317)

Normalizer property of finite groups with almost simple subgroups

open access: yesElectronic Research Archive, 2022
In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
doaj   +1 more source

Characterization of some alternating groups by order and largest element order [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2022
The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
doaj   +1 more source

Finite groups for which all proper subgroups have consecutive character degrees

open access: yesAIMS Mathematics, 2023
Huppert and Qian et al. classified finite groups for which all irreducible character degrees are consecutive. The aim of this paper is to determine the structure of finite groups whose irreducible character degrees of their proper subgroups are all ...
Shitian Liu
doaj   +1 more source

Infinite locally finite simple groups with many complemented subgroups [PDF]

open access: yesInternational Journal of Group Theory, 2022
We prove that the following families of (infinite) groups have complemented subgroup lattice‎: ‎alternating groups‎, ‎finitary symmetric groups‎, ‎Suzuki groups over an infinite locally finite field of characteristic $2$‎, ‎Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
doaj   +1 more source

Integral group ring of the first Mathieu simple group [PDF]

open access: yes, 2007
We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
core   +2 more sources

On the tree-number of the power graph associated with some finite groups [PDF]

open access: yesAUT Journal of Mathematics and Computing
Given a group G, we define the power graph P(G) as follows: the vertices are the elements of G and two vertices x and y are joined by an edge if ⟨x⟩ ⊆ ⟨y⟩ or ⟨y⟩ ⊆ ⟨x⟩.
Sakineh Rahbariyan
doaj   +1 more source

On Group-Vertex-Magic Labeling of Simple Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq   +2 more
doaj   +1 more source

Blocks of group algebras are derived simple [PDF]

open access: yes, 2011
A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements.
Liu, Qunhua, Yang, Dong
core   +1 more source

THE EASY APPROACH TO GROUP AGENCY. A SIMPLE REALIST VIEW ON GROUP AGENTS

open access: yesStudia Universitatis Babeș-Bolyai. Philosophia, 2021
We talk about groups as doing something, we talk as if groups have agency. Is our talk legitimate? Are there group agents? Is there something like group agency?
Andreea POPESCU
doaj   +1 more source

Recognition by degree prime-power graph and order of some characteristically simple groups [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
In this paper, by the order of a group and triviality of $O_p(G)$ for some prime $p$, we give a new characterization for some characteristically simple groups. In fact, we prove that if {$p \in \{5, 17, 23, 37, 47, 73\}$ and $n \leqslant p$, where $n$ is
Afsane Bahri   +2 more
doaj   +1 more source

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