Results 11 to 20 of about 157,688 (264)

Some criteria for solvability and supersolvability [PDF]

open access: yesJournal 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
doaj   +1 more source

Finite morphic p-groups [PDF]

open access: yesJournal of Pure and Applied Algebra, 2015
7 pages.
Caranti A, SCOPPOLA, CARLO MARIA
openaire   +4 more sources

On connected components and perfect codes of proper order graphs of finite groups [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
Let G be a finite group with the identity element e. The proper order graph of G, denoted by ℒ* (G), is an undirected graph with a vertex set G \ {e}, where two distinct vertices x and y are adjacent whenever o(x) | o(y) or o(y) | o(x), where o(x) and ...
Huani Li, Shixun Lin, Xuanlong Ma
doaj   +1 more source

ENUMERATING FINITE GROUPS

open access: yesThe 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
openaire   +2 more sources

Study of Groups with basic property [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
The purpose of this paper is to study the concept of dependence , independence and the basis of some algebraic structure and give the definition of a finite group with basic property and study some of its basic properties .
Dunia Alawi Jarwan
doaj   +1 more source

Convergence of random walks on double transitive group generated by its permutational character

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019
Let $P$ be a probability on a finite group $G$, $U(g)=\frac{1}{|G|}$ the uniform (trivial) probability on the group $G$, $P^{(n)}=P *\ldots*P$ an $n$-fold convolution of $P$.
Aleksandr L. Vyshnevetskiy
doaj   +1 more source

A survey on projectively equivalent representations of finite groups [PDF]

open access: yesSurveys in Mathematics and its Applications, 2020
The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
doaj  

On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups

open access: yesMathematics, 2020
Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel   +2 more
doaj   +1 more source

Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2016
All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
doaj   +1 more source

Speed of convergence of complementary probabilities on finite group

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
Let function P be a probability on a finite group G, i.e. $P(g)\geq0\ $ $(g\in G),\ \sum\limits_{g}P(g)=1$ (we write $\sum\limits_{g}$ instead of $\sum\limits_{g\in G})$.
Alexander Vyshnevetskiy
doaj   +1 more source

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