Results 21 to 30 of about 17,562 (171)

Frobenius groups of automorphisms and their fixed points [PDF]

, 2010
Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V., Dade E. C., Evgeny Khukhro, Hall P., Khukhro E. I., Kreknin V. A., Kuzucuoglu M., Lazard M., Mal’cev A. I., Natalia Makarenko, Pavel Shumyatsky   +10 more
core   +2 more sources

The Frobenius complexity of Hibi rings

, 2018
We study the Frobenius complexity of Hibi rings over fields of characteristic $p > 0$. In particular, for a certain class of Hibi rings (which we call $\omega^{(-1)}$-level), we compute the limit of the Frobenius complexity as $p \rightarrow \infty ...
Page, Janet
core   +1 more source

A Class of Local Non-Chain Rings of Order p^5m

Axioms
This study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi, Badriyah Rashed Alshahrani, Sami Alabiad   +2 more
doaj   +1 more source

The prime graph conjecture for integral group rings of some alternatings groups [PDF]

International Journal of Group Theory, 2013
We investigate the classical Zassenhaus Conjecture (ZC) for integral group rings of alternating groups A9 and A10. Even the question (ZC) remains open as no counterexample is known up to date, it been confirmed for special types of groups such as ...
Mohamed Salim
doaj  

On Linear Codes over Finite Singleton Local Rings

Mathematics
The study of linear codes over local rings, particularly non-chain rings, imposes difficulties that differ from those encountered in codes over chain rings, and this stems from the fact that local non-chain rings are not principal ideal rings.
Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori   +2 more
doaj   +1 more source

Intelligent Stain‐Free Histology on Structural Colorimetric Nanocavities

Advanced Science, EarlyView.
Chen and Gan et al. introduce a label‐free imaging platform using inexpensive Nanocavity‐on‐Silicon (NOS) slides. These slides transform subtle tissue variations into vivid structural colors, enabling high‐contrast histological imaging under a regular optical microscope. This stain‐free approach reveals morphological details comparable to traditional H&
Qizhe Chen, Yifei Ren, Lijie Hu, Yanyan Li, Wenyue Liang, Jin Wang, Han Gao, Xinhai Wang, Jiajun Li, Qiutao He, Yingfeng Zhu, Haifeng Hu, Qiwen Zhan, Imed Gallouzi, Jasmeen Merzaban, Di Wang, Zunguo Du, Xiaodong Gu, Qiaoqiang Gan   +18 more
wiley   +1 more source

PAIR: Reconstructing Single‐Cell Open‐Chromatin Landscapes for Transcription Factor Regulome Mapping

Advanced Science, EarlyView.
scATAC‐seq analysis is often constrained by limited sequencing depth, extreme sparsity, and pervasive technical missingness. PAIR is a probabilistic framework that restores scATAC‐seq accessibility profiles by directly modeling the native cell–peak bipartite structure of chromatin accessibility.
Yanchi Su, Qi Qi, Yi Fan, Yubo Wang, Gaoyang Hao, Ka‐Chun Wong, Yunhe Wang, Xiangtao Li   +7 more
wiley   +1 more source

Degenerate coordinate rings of flag varieties and Frobenius splitting

, 2013
Recently E. Feigin introduced the $\mathbb G_a^N$-degenerations of semisimple algebraic groups and their associated degenerate flag varieties. It has been shown by Feigin, Finkelberg, and Littelmann that the degenerate flag varieties in types $A_n$ and ...
Hague, Chuck
core   +1 more source

FULLY BOUNDED NOETHERIAN RINGS AND FROBENIUS EXTENSIONS [PDF]

Journal of Algebra and Its Applications, 2007
Let i: A → R be a ring morphism, and χ: R → A a right R-linear map with χ(χ(r)s) = χ(rs) and χ(1R) = 1A. If R is a Frobenius A-ring, then we can define a trace map tr: A → AR. If there exists an element of trace 1 in A, then A is right FBN if and only if AR is right FBN and A is right noetherian. The result can be generalized to the case where R is an
Caenepeel, S., Guédénon, T.
openaire   +3 more sources

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source