Results 41 to 50 of about 444,260 (331)

Automorphisms and opposition in twin buildings

, 2012
We show that every automorphism of a thick twin building interchanging the halves of the building maps some residue to an opposite one. Furthermore we show that no automorphism of a locally finite 2-spherical twin building of rank at least 3 maps every ...
Devillers, Alice, Parkinson, James, Van Maldeghem, Hendrik   +2 more
core   +1 more source

On modules of finite upper rank [PDF]

Transactions of the American Mathematical Society, 2000
A finite group \(G\) is said to have (special) rank \(r=\text{rk}(G)\) if every subgroup of \(G\) can be generated by \(r\) elements, and \(r\) is minimal with this property. If \(p\) is a prime, the \(p\)-rank \(\text{r}_p(G)\) of a finite group \(G\) is the rank of a Sylow \(p\)-subgroup of \(G\). Let now \(G\) be an arbitrary group, \(\{H_i\mid i\in
openaire   +4 more sources

Overview of molecular signatures of senescence and associated resources: pros and cons

FEBS Open Bio, EarlyView.
Cells can enter a stress response state termed cellular senescence that is involved in various diseases and aging. Detecting these cells is challenging due to the lack of universal biomarkers. This review presents the current state of senescence identification, from biomarkers to molecular signatures, compares tools and approaches, and highlights ...
Orestis A. Ntintas, Sylvia Vagena, Pavlos Pantelis, Giorgos Theocharous, Russel Petty, Konstantinos Evangelou, Vassilis G. Gorgoulis   +6 more
wiley   +1 more source

Construction of a Class of Real Array Rank Distance Codes

Journal of Electrical and Computer Engineering, 2023
Rank distance codes are known to be applicable in various applications such as distributed data storage, cryptography, space time coding, and mainly in network coding.
N. Suresh Babu, B. Ravivarma, E. M. Elsayed, K. G. Sreekumar   +3 more
doaj   +1 more source

On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal

Karpatsʹkì Matematičnì Publìkacìï, 2021
A group $G$ has a finite special rank $r$ if every finitely generated subgroup of $G$ is generated by at most $r$ elements and there is a finitely generated subgroup of $G$ which has exactly $r$ generators.
T.V. Velychko
doaj   +1 more source

Extensions of Johnson's and Morita's homomorphisms that map to finitely generated abelian groups

, 2009
We extend each higher Johnson homomorphism to a crossed homomorphism from the automorphism group of a finite-rank free group to a finite-rank abelian group. We also extend each Morita homomorphism to a crossed homomorphism from the mapping class group of
Corwin L. J., MATTHEW B. DAY, Prasolov V. V.   +2 more
core   +1 more source

Locally (Soluble-by-Finite) Groups of Finite Rank

Journal of Algebra, 1996
The authors prove the following result: A locally (soluble-by-finite) group with all locally soluble subgroups of finite rank is (locally soluble)-by-finite and of finite rank. After they have shown that the group is of finite rank the result follows from a theorem of N. S. Chernikov.
Martyn R. Dixon, Howard Smith, Martin J. Evans   +2 more
openaire   +2 more sources

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

A remark on the rank of finite $p$-groups of birational automorphisms

Comptes Rendus. Mathématique, 2020
In this note, we improve a result of Prokhorov and Shramov on the rank of finite $p$-subgroups of the group of birational transformations of a rationally connected variety. Known examples show that the bounds obtained are optimal in many cases.
Xu, Jinsong
doaj   +1 more source

On the Rank and Periodic Rank of Finite Dynamical Systems [PDF]

The Electronic Journal of Combinatorics, 2018
A finite dynamical system is a function $f : A^n \to A^n$ where $A$ is a finite alphabet, used to model a network of interacting entities. The main feature of a finite dynamical system is its interaction graph, which indicates which local functions depend on which variables; the interaction graph is a qualitative representation of the interactions ...
openaire   +2 more sources