Results 11 to 20 of about 180,428 (314)
Extraspecially Irreducible Groups [PDF]
Advances in Group Theory and Applications, 2016 Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
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Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
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Journal of Pure and Applied Algebra, 2015 7 pages.
Caranti A, SCOPPOLA, CARLO MARIA
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Bases in finite groups of small order
Karpatsʹkì Matematičnì Publìkacìï, 2021 A subset $B$ of a group $G$ is called a basis of $G$ if each element $g\in G$ can be written as $g=ab$ for some elements $a,b\in B$. The smallest cardinality $|B|$ of a basis $B\subseteq G$ is called the basis size of $G$ and is denoted by $r[G]$.
T.O. Banakh, V.M. Gavrylkiv
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Some criteria for solvability and supersolvability [PDF]
Journal of Mahani Mathematical Research, 2023 Denote by $ G $ a finite group, by $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow numbers that are one) in $G$.
Zohreh Habibi, Masoomeh Hezarjaribi
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The Quarterly Journal of Mathematics, 1987 This paper deals with the problem of enumerating the number f(n) of isomorphism types of groups of order n. There are three results which give upper bounds for f(n). The first bound holds for arbitrary groups, the second one deals with solvable groups, while the third one applies to groups with abelian Sylow subgroups.
Mciver, A, Neumann, P
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Boolean Lattices of $n$-multiply $\omega\sigma$-fibered Fitting Classes
Известия Иркутского государственного университета: Серия "Математика", 2022 Let N be the set of all natural numbers. Consider all definitions and results taking into account the partitioning of the area for determining satellites and directions.
O.V. Kamozina
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Integral forms in vertex operator algebras, a survey [PDF]
International Journal of Group Theory, 2020 We give a brief survey of recent work on integral forms in vertex operator algebras (VOAs).
Robert Griess
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Journal of Pure and Applied Algebra, 2011 We call a group $G$ {\it algorithmically finite} if no algorithm can produce an infinite set of pairwise distinct elements of $G$. We construct examples of recursively presented infinite algorithmically finite groups and study their properties. For instance, we show that the Equality Problem is decidable in our groups only on strongly (exponentially ...
Myasnikov, Alexei, Osin, Denis
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On sublattices of the lattice of all ω-composition formations of finite groups [PDF]
Advances in Group Theory and Applications, 2018 It is proved that the lattice of all ω-local formations is a complete sublattice of the lattice of all ω-composition formations of finite groups.
Nikolay N. Vorob’ev
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