Results 51 to 60 of about 15,309,834 (359)

Algorithmically complex residually finite groups [PDF]

, 2012
We construct the first examples of algorithmically complex finitely presented residually finite groups and the first examples of finitely presented residually finite groups with arbitrarily large (recursive) Dehn functions, and arbitrarily large depth ...
O. Kharlampovich, A. Myasnikov, M. Sapir
semanticscholar   +1 more source

Systemic T Cell Receptor Profiling Reveals Adaptive Immune Activation and Potential Immune Signatures of Diagnosis and Brain Atrophy in Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin, Sang Bin Hong, Yong Woo Shin, Inpyeong Hwang, Jaeseong Oh, Jihyeon Choi, Narae Kim, Jangsup Moon, Keun‐Hwa Jung, Kyung‐Il Park, Ki‐Young Jung, Kon Chu, Sang Kun Lee   +12 more
wiley   +1 more source

Permutation-Based Distances for Groups and Group-Valued Time Series

Entropy
Permutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that are of particular interest to us here: the Cayley distance and the Kendall ...
José M. Amigó, Roberto Dale
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

Introduction to Sporadic Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2011
This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction to the sporadic groups.
Luis J. Boya
doaj   +1 more source

Sums of prime element orders in finite groups

Journal of Taibah University for Science, 2018
Let G be a finite group and $\psi _*(G)$ denote the sum of prime element orders of G. This paper presents some properties of $\psi _*$ and investigate the minimum value and the maximum value of $\psi _*$ on the set of groups of the same order.
C. Beddani, W. Messirdi
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

On finite C-tidy groups [PDF]

International Journal of Group Theory, 2013
A group G is said to be a C-tidy group if for every element x € G K(G), the set Cyc(x)={y € G | is cyclic} is a cyclic subgroup of G, where K(G) is the intersection of all the Cyc(x) in G.
Sekhar Jyoti Baishya
doaj  

Bicrossed products for finite groups

, 2009
We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written
A. Chirvăsitu, A. L. Agore, B. Ion, C Kassel, E Maillet, G. Militaru, H Wielandt, J Douglas, J López Peña, J Rotman, J Szép, J Wiegold, M Giudici, M Takeuchi, O Ore, S Caenepeel   +15 more
core   +2 more sources

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