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Product mixing in the alternating group [PDF]

open access: yesDiscrete Analysis, 2016
Product mixing in the alternating group, Discrete Analysis 2016:2, 18 pp. Growth and mixing of subsets of groups is a major theme in group theory. The former concerns lower bounds for the sizes of product sets, especially of the form $A^k$, where $A$ is
Sean Eberhard
doaj   +3 more sources

Immediate Effect of Whole-Body Vibration Exercise Performed in Vertical Versus Side-Alternating Displacement Modes on Physiological Parameters, Perception of Effort, Strength and Functionality in Adults with Obesity [PDF]

open access: yesDiagnostics
Background: Obesity, defined as an abnormal accumulation of body fat, is becoming a global epidemic. Individuals with obesity may present with increased abdominal fat, which is associated with hypertension, altered respiratory mechanics, higher resting ...
Aline Reis-Silva   +12 more
doaj   +2 more sources

Alternate-day alternating monotherapy (q48h) versus daily concomitant atorvastatin–fenofibrate in adults with type 2 diabetes and mixed dyslipidemia: a 12-week randomized non-inferiority trial [PDF]

open access: yesBMC Endocrine Disorders
Purpose To test the non-inferiority of alternate-day alternating monotherapy (q48h) versus daily concomitant atorvastatin–fenofibrate for change in LDL-C in adults with T2DM and mixed dyslipidemia (margin δ = 13 mg/dL). Methods Single-center, randomized,
Soheil Shahramirad   +4 more
doaj   +2 more sources

Characterization of some alternating groups by order and largest element order [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2022
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
doaj   +1 more source

Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
doaj   +1 more source

Metric properties of Cayley graphs of alternating groups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
A well known diameter search problem for finite groups with respect to its systems of generators is considered. The problem can be formulated as follows: find the diameter of a group over its system of generators.
M.S. Olshevskyi
doaj   +1 more source

Some results on the join graph of finite groups [PDF]

open access: yesInternational Journal of Group Theory, 2021
‎Let $G$ be a finite group which is not cyclic of prime power order‎. ‎The join graph $\Delta(G)$ of $G$ is a graph whose vertex set is the set of all proper subgroups of $G$‎, ‎which are not contained in the Frattini subgroup $G$ and two distinct ...
Zahara Bahrami, Bijan Taeri
doaj   +1 more source

Spectral Analysis of the Adjacency Matrices for Alternating Quotients of Hyperbolic Triangle Group *(3,q,r) for q < r Primes

open access: yesAxioms, 2023
Hyperbolic triangle groups are found within the category of finitely generated groups. These are topological groups formed by the reflections along the sides of a hyperbolic triangle and acting properly discontinuously on the hyperbolic plane.
Sajida Younas   +3 more
doaj   +1 more source

The Derived Subgroups of Sylow 2-Subgroups of the Alternating Group, Commutator Width of Wreath Product of Groups

open access: yesMathematics, 2020
The structure of the commutator subgroup of Sylow 2-subgroups of an alternating group A 2 k is determined. This work continues the previous investigations of me, where minimal generating sets for Sylow 2-subgroups of alternating groups were ...
Ruslan V. Skuratovskii
doaj   +1 more source

New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group

open access: yesExamples and Counterexamples, 2023
A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
doaj   +1 more source

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