177 hasil
Menampilkan 1–20 · 0,11 detik · RSS
Advances in Group Theory and Applications
Scopus
ISSN 2499-1287 · Aracne · 177 artikel di indeks
-
Artikel Jurnal Teks lengkap
About Nilpotent Profinite Groups Largely Satisfying a Word Equation
We show that in a nilpotent profinite group, the set of answers of a word equation has nonempty interior, provided that this set has a positive Haar measure. This fact shows that the conjecture proposed by Lévai and Pyber is true for nilpotent profinite groups.
-
Artikel Jurnal Teks lengkap
Bounded Conciseness in the Space of Marked Groups
We prove that bounded conciseness is a closed property in the space of marked groups. As a consequence, we reformulate a conjecture of Fernández-Alcober and Shumyatsky [7] about conciseness in the class of residually finite groups.
-
Artikel Jurnal Teks lengkap
The Self-Dual Indecomposable Modules in Blocks with Cyclic Defect Groups
Let p be an odd prime and let B be p-block of a finite group, such that B has cyclic defect groups. We describe the self-dual indecomposable B-modules and for each such module determine whether it is symplectic or orthogonal.
-
Artikel Jurnal Teks lengkap
Finite Groups in which every Subgroup of Order Divisible by p is Normal
-
Artikel Jurnal Teks lengkap
Rota–Baxter Operators on Dihedral and Alternating Groups
Rota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L. Guo, H. Lang, Yu. Sheng. In 2023, V…
-
Artikel Jurnal Teks lengkap
Finite Almost Simple Groups whose Holomorph Contains a Solvable Regular Subgroup
In our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous work by considering all finite almost simple groups. In particular, our theorem yields a complete characterization of…
-
Artikel Jurnal Teks lengkap
On Quantitative Structure of Symplectic Groups of Dimension Four
The main aim of this article is to study the quantitative structure of projective symplectic groups PSp_4(q) with q>2 even. Indeed, we prove that the groups PSp_4(q) with q>2 even are uniquely determined by their orders and the set of the number of elements of the same order. This result links to…
-
Artikel Jurnal Teks lengkap
Burnside Groups and Groups Acting on Rooted Trees
Branch groups stem from one of the most influential problems in group theory: The famous Burnside Problem, which arose in 1902 and asks if a finitely generated torsion group, i.e. in which every element has finite order, can be itself infinite. Now branch groups are groups acting on rooted trees…
-
Artikel Jurnal Teks lengkap
Computational Group Theory: Bedrock and New Frontiers
Computational group theory concerns the development, analysis and application of algorithms for groups. This survey paper, aimed at students and early career researchers, gives an overview of some of the important techniques and developments in computational group theory. In particular, the text…
-
Artikel Jurnal Teks lengkap
The Interplay of R-matrices and Quantum Groups
These are the expanded lecture notes of a mini-course given by the author in Milan in June 2024, during the conference GABY: Groups and Algebras in Bicocca for Young algebraists. We present a concise introduction to the theory of quantum groups, focusing on their ability to produce solutions of the…
-
Artikel Jurnal Teks lengkap
A Note on Finite Groups with Given CSS-subgroups
For a finite group G, a subgroup H of G is called a CSS-subgroup of G if G possesses a normal subgroup K such that G = HK and H ∩ K is an SS-quasinormal subgroup in G. In this note, we prove that for any saturated formation F containing the class of all supersolvable groups, G is in F if and only…
-
Artikel Jurnal Teks lengkap
The Number of Supercharacter Theories of Cyclic Groups of Order pq
In this paper, we determine the number of distinct supercharacter theories of cyclic group of order pq where p and q are distinct odd primes.
-
Artikel Jurnal Teks lengkap
Prime Factorizations of Finite Groups, II
This is the second part of our three consecutive papers which develop a theory of prime factorizations of groups. In this part, we show core results. Notably, we completely determine finite unique factorization groups (UFGs), i.e. groups with unique prime factorizations (up to equivalence). In…
-
Artikel Jurnal Teks lengkap
Inner and Outer Derivations of FV8n
Let F be a field of characteristic 0 or an odd rational prime p. In this article, we give an explicit classification of all the inner and outer derivations of the group algebra FV8n, where V8n is a group of order 8n (n a positive integer). First, we explicitly classify all the F-derivations of FV8n…