Results 31 to 40 of about 15,173 (265)
Generation problems for finite groups [PDF]
, 2012 It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B.
McDougall-Bagnall, Jonathan M.
core
The finite simple groups have complemented subgroup lattices [PDF]
, 2004 We prove an old standing conjecture by showing that the lattice of subgroups of every finite simple group is a complemented lattice. We achieve this result by using the classification of finite simple groups, and information on the maximal ...
ZACHER, GIOVANNI, COSTANTINI, MAURO
core +1 more source
New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
Advanced Engineering Materials, EarlyView.This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
wiley +1 more source
Advances in Sustainable and Wearable Textile Based Soft Robotics
Advanced Functional Materials, EarlyView.This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
On cubic Cayley graphs of finite simple groups [PDF]
, 2002 For a finite group G, a Cayley graph Cay(G,S) is said to be normal if the group GR of right translations on G is a normal subgroup of the full automorphism group of Cay(G,S).
Xu, Ming Yao +7 more
core +1 more source
Advanced Functional Materials, EarlyView.An interstitium‐mimicking membrane combines three‐dimensional alveolar geometry, high pore interconnectivity, and mechanical compliance to overcome transport limitations of conventional lung‐on‐chip barriers. The resulting platform supports physiologic aerosol transport, quantitative analysis of cross‐barrier particle movement, and reveals divergent ...
Jae‐Won Choi +11 more
wiley +1 more source
The spread of finite and infinite groups [PDF]
It is well known that every finite simple group has a generating pair. Moreover, Guralnick and Kantor proved that every finite simple group has the stronger property, known as 3/2-generation, that every nontrivial element is contained in a generating ...
Harper, Scott; id_orcid, Harper, Scott
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Advanced Functional Materials, EarlyView.Photoaligned and photopatterned liquid crystal platforms provide programmable control of optical phase, polarization, and spin‐orbit interactions, enabling compact generation of structured light and complex wavefronts. This review highlights how tailored molecular orientations transform simple beams into designed optical fields, opening versatile ...
Le Zhou +6 more
wiley +1 more source
Classification of the Finite Simple Groups [PDF]
, 1980 The classification of the finite simple groups was completed sometime during the summer of 1980. To the extent that I can reconstruct things, the last piece in the puzzle was filled in by Ronald Solomon of Ohio State University.
Aschbacher, Michael
core
Blocks with extra-special defect groups of finite quasi-simple groups [PDF]
, 2011 The classification of blocks with special defect groups is one of the main problems in the modular representations theory. In work on nilpotent and controlled blocks of finite quasi-simple groups, we notice that blocks with extra-special defect groups ...
Eaton, Charles W. +5 more
core +1 more source