Results 41 to 50 of about 180,428 (314)

Finite groups with given systems of generalised σ-permutable subgroups

Журнал Белорусского государственного университета: Математика, информатика, 2021
Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ  of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ  is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
doaj   +1 more source

Functional Connectivity Linked to Cognitive Recovery After Minor Stroke

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Patients with minor stroke exhibit slowed processing speed and generalized alterations in functional connectivity involving frontoparietal cortex (FPC). The pattern of connectivity evolves over time. In this study, we examine the relationship of functional connectivity patterns to cognitive performance, to determine ...
Vrishab Commuri, Isabella Dallasta, Ciaran Stone, Sophia Girgenti, Neda Gould, Rafael H. Llinas, Jonathan Z. Simon, Elisabeth Breese Marsh   +7 more
wiley   +1 more source

On some properties of the lattice of totally σ-local formations of finite groups

Журнал Белорусского государственного университета: Математика, информатика, 2020
Throughout this paper, all groups are finite. Let $σ=\{σ_i{}|i\in I\}$ be some partition of the set of all primes $\Bbb{P}$. If $n$ is an integer, $G$ is a group, and $\mathfrak{F}$ is a class of groups, then $σ(n)=\{σ_i{}|σ_i{}\cap \pi(n)\ne \emptyset\}$
Vasilly G. Safonov, Inna Nikolaevna Safonova   +1 more
doaj   +1 more source

Heterogeneity of Rheumatoid Arthritis–Associated Interstitial Lung Disease by Longitudinal Forced Vital Capacity Trajectory and Associations With Disease Outcomes

Arthritis Care &Research, EarlyView.
Objective We aimed to identify unique disease trajectories within rheumatoid arthritis–associated interstitial lung disease (RA‐ILD) based on longitudinal forced vital capacity (FVC) values and their associated clinical outcomes. Methods We performed a cohort study of RA‐ILD within the Veterans Health Administration from 1999 to 2021.
Bryant R. England, Yangyuna Yang, Punyasha Roul, Tate M. Johnson, Scott M. Matson, Grant W. Cannon, Brian C. Sauer, Jeffrey R. Curtis, Joshua F. Baker, Ted R. Mikuls   +9 more
wiley   +1 more source

Finite groups whose coprime graphs are AT-free

Electronic Research Archive
Assume that $ G $ is a finite group. The coprime graph of $ G $, denoted by $ \Gamma(G) $, is an undirected graph whose vertex set is $ G $ and two distinct vertices $ x $ and $ y $ of $ \Gamma(G) $ are adjacent if and only if $ (o(x), o(y)) = 1 $, where
Huani Li, Xuanlong Ma
doaj   +1 more source

Normalizers and centralizers of subgroups in non-Abelian groups of small order [PDF]

Компьютерные исследования и моделирование, 2012
By applying the computer program, which is created by authors, we obtain the exact representation of normalizers and centralizers of all nontrivial subgroups in non-Abelian groups G under the condition |G|20.
Ilya Anatolievih Shilin, Aleksandr A. Aleksandrov   +1 more
doaj   +1 more source

FINITE -GROUPS WITH SMALL AUTOMORPHISM GROUP [PDF]

Forum of Mathematics, Sigma, 2015
For each prime$p$we construct a family$\{G_{i}\}$of finite$p$-groups such that$|\text{Aut}(G_{i})|/|G_{i}|$tends to zero as$i$tends to infinity. This disproves a well-known conjecture that$|G|$divides$|\text{Aut}(G)|$for every nonabelian finite$p$-group$G$.
JON GONZÁLEZ-SÁNCHEZ, ANDREI JAIKIN-ZAPIRAIN   +1 more
openaire   +4 more sources

Effect of Foot Orthoses on Midfoot Pain and the Volume of Bone Marrow Lesions in the Midfoot: A Randomized Mechanism of Action Study

Arthritis Care &Research, EarlyView.
Objective Foot orthoses are thought to improve pain by potentially modifying internal mechanical forces. To test this, we explored whether foot orthoses can modify patterns of bone marrow lesions (BMLs) in people with midfoot pain. Methods Forty‐two people were recruited with midfoot pain, and magnetic resonance imaging–confirmed midfoot BMLs ...
Jill Halstead, Anne‐Maree Keenan, Philip G. Conaghan, Dennis McGonagle, Anthony C. Redmond   +4 more
wiley   +1 more source

On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]

Mathematics Interdisciplinary Research, 2018
The (undirected) power graph on the conjugacy classes PC(G) of a group G  is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
doaj   +1 more source

Thickness of the subgroup intersection graph of a finite group

AIMS Mathematics, 2021
Let $ G $ be a finite group. The intersection graph of subgroups of $ G $ is a graph whose vertices are all non-trivial subgroups of $ G $ and in which two distinct vertices $ H $ and $ K $ are adjacent if and only if $ H\cap K\neq 1 $. In this paper, we
Huadong Su, Ling Zhu
doaj   +1 more source