Results 11 to 20 of about 6,200,949 (317)
Normalizer property of finite groups with almost simple subgroups
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
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Characterization of some alternating groups by order and largest element order [PDF]
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
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Finite groups for which all proper subgroups have consecutive character degrees
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
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Infinite locally finite simple groups with many complemented subgroups [PDF]
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
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Integral group ring of the first Mathieu simple group [PDF]
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.
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On the tree-number of the power graph associated with some finite groups [PDF]
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
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On Group-Vertex-Magic Labeling of Simple Graphs
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
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Blocks of group algebras are derived simple [PDF]
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
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THE EASY APPROACH TO GROUP AGENCY. A SIMPLE REALIST VIEW ON GROUP AGENTS
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
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Recognition by degree prime-power graph and order of some characteristically simple groups [PDF]
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
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