Results 41 to 50 of about 277,944 (294)

Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]

Advances in Group Theory and Applications, 2016
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
doaj   +1 more source

On the Fast Computation of the Weight Enumerator Polynomial and the t Value of Digital Nets over Finite Abelian Groups [PDF]

SIAM Journal on Discrete Mathematics, 2012
In this paper we introduce digital nets over finite abelian groups which contain digital nets over finite fields and certain rings as a special case. We prove a MacWilliams type identity for such digital nets.
J. Dick, M. Matsumoto
semanticscholar   +1 more source

Subgroup intersection graph of finite abelian groups [PDF]

Transactions on Combinatorics, 2012
Let G be a finite group with identity e. The subgroup intersection graph Gamma_SI (G) of G isa graph with vertex set G − e and two distinct vertices x and y are adjacent if and only if | i ∩ | | > 1.
T. Tamizh Chelvam, M. Sattanathan
doaj  

Non-∀-homogeneity in free groups

Bulletin of Mathematical Sciences, 2021
We prove that non-abelian free groups of finite rank at least 3 or of countable rank are not ∀-homogeneous. We answer three open questions from Kharlampovich, Myasnikov, and Sklinos regarding whether free groups, finitely generated elementary free groups,
Olga Kharlampovich, Christopher Natoli
doaj   +1 more source

Factoring finite abelian groups

Journal of Algebra, 2004
Let \(S+T\) denote the Minkowski sum of the sets \(S\) and \(T\). Let \(G\) be a finite cyclic group with a factorization \(G=S_1\oplus S_2\oplus\cdots\oplus S_k\), where \(|S_i|\) is a prime or a product of two primes for all \(i\). The author shows that there is \(i\) such that \(S_i\) is periodic.
openaire   +1 more source

Certain finite abelian groups with the Redei k-property [PDF]

International Journal of Group Theory, 2013
Three infinite families of finite abeliab groups will be described such that each members of these families has the Redei k-property for many non-trivial values of k.
Sandor Szabo
doaj  

Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups

Известия Иркутского государственного университета: Серия "Математика", 2020
An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
doaj   +1 more source

Unit groups of finite group algebras of Abelian groups of order 17 to 20

AIMS Mathematics, 2021
Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |
Yunpeng Bai , Yuanlin Li, Jiangtao Peng
doaj   +1 more source

Finite Abelian Groups via Congruences

The American Mathematical Monthly, 2023
For every finite abelian group $G$, there are positive integers $n$ and $d$ such that $G$ is isomorphic to the multiplicative group of $d$-th powers of reduced residues modulo $n$.
openaire   +2 more sources

Abelian Carter subgroups in finite permutation groups

, 2013
We show that a finite permutation group containing a regular abelian self-normalizing subgroup is soluble.Comment: 6 ...
Jabara, Enrico, Spiga, Pablo
core   +1 more source