Results 21 to 30 of about 325,522 (254)

Dixon's asymptotic without the classification of finite simple groups

Random Structures & Algorithms, 2023
AbstractWithout using the classification of finite simple groups (CFSG), we show that the probability that two random elements of generate a primitive group smaller than is at most . As a corollary we get Dixon's asymptotic expansion for the probability that two random elements of (or ) generate a subgroup containing .
openaire   +4 more sources

A Census Of Highly Symmetric Combinatorial Designs

, 2007
As a consequence of the classification of the finite simple groups, it has been possible in recent years to characterize Steiner t-designs, that is t-(v,k,1) designs, mainly for t = 2, admitting groups of automorphisms with sufficiently strong symmetry ...
A. Delandtsheer, A. Delandtsheer, A. Delandtsheer, B. Huppert, D. Gorenstein, D. Livingstone, D. A. Foulser, D. A. Foulser, D. G. Higman, D. K. Ray-Chaudhuri, E. Witt, F. Buekenhout, F. Buekenhout, F. Buekenhout, H. Lüneburg, J. Saxl, J. Tits, J. H. Conway, L. E. Dickson, M. Huber, M. Huber, M. Huber, M. W. Liebeck, M. W. Liebeck, Michael Huber, P. Dembowski, P. B. Kleidman, P. B. Kleidman, P. J. Cameron, P. J. Cameron, P. J. Cameron, R. D. Carmichael, R. E. Block, Th. Beth, W. M. Kantor, W. M. Kantor, W. M. Kantor, W. M. Kantor, W. M. Kantor, W. O. Alltop   +39 more
core   +1 more source

On the existence of block-transitive combinatorial designs [PDF]

, 2010
Block-transitive Steiner $t$-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and ...
Huber, Michael
core   +4 more sources

Simple groups contain minimal simple groups [PDF]

, 1997
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple ...
Marzang, Soran, Taghvasani, Leyli Jafari, Zarrin, Mohammad   +2 more
core   +4 more sources

Which finite simple groups are unit groups? [PDF]

, 2014
We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
core   +2 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Learning to be simple

AI for Science
In this work we employ machine learning to understand structured mathematical data involving finite groups and derive a theorem about necessary properties of generators of finite simple groups.
Yang-Hui He, Vishnu Jejjala, Mishra Challenger, Em Sharnoff   +3 more
doaj   +1 more source

Totally -closed finite groups with trivial Fitting subgroup

Bulletin of Mathematical Sciences
A finite permutation group [Formula: see text] is called [Formula: see text]-closed if [Formula: see text] is the largest subgroup of [Formula: see text] which leaves invariant each of the [Formula: see text]-orbits for the induced action on [Formula ...
Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger, Gareth Tracey   +3 more
doaj   +1 more source

Evaluating Energy Absorption Performance of Filled Lattice Structures

Advanced Engineering Materials, EarlyView.
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney, William P. King, Iwona Jasiuk   +2 more
wiley   +1 more source

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

Advanced Engineering Materials, EarlyView.
Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley   +1 more source