Results 1 to 10 of about 20,469,654 (240)
ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]
Journal of the Australian Mathematical Society, 2016 The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$ , with an edge between two vertices if and only if they generate $H$ .
A. Lucchini, A. Maróti, C. Roney-Dougal
semanticscholar +5 more sources
On the uniform domination number of a finite simple group [PDF]
Transactions of the American Mathematical Society, 2018 Let $G$ be a finite simple group. By a theorem of Guralnick and Kantor, $G$ contains a conjugacy class $C$ such that for each non-identity element $x \in G$, there exists $y \in C$ with $G = \langle x,y\rangle$. Building on this deep result, we introduce
Burness, Timothy C., Harper, Scott
core +5 more sources
The depth of a finite simple group [PDF]
Proceedings of the American Mathematical Society, 2017 We introduce the notion of the depth of a finite group $G$, defined as the minimal length of an unrefinable chain of subgroups from $G$ to the trivial subgroup. In this paper we investigate the depth of (non-abelian) finite simple groups.
Timothy C. Burness +2 more
semanticscholar +8 more sources
On Tensor Products of Simple Modules for Simple Groups [PDF]
arXiv, 2011 In an attempt to get some information on the multiplicative structure of the Green ring we study algebraic modules for simple groups, and associated groups such as quasisimple and almost-simple groups. We prove that, for almost all groups of Lie type in defining characteristic, the natural module is non-algebraic.
arxiv +5 more sources
Simple and Fast Group Robustness by Automatic Feature Reweighting [PDF]
International Conference on Machine Learning, 2023 A major challenge to out-of-distribution generalization is reliance on spurious features -- patterns that are predictive of the class label in the training data distribution, but not causally related to the target.
Shi Qiu +3 more
semanticscholar +1 more source
Simple groups contain minimal simple groups [PDF]
Publicacions Matemàtiques, 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 group.
Barry, M. J. J., Ward, M. B.
openaire +4 more sources
A finitely presented infinite simple group of homeomorphisms of the circle [PDF]
Journal of the London Mathematical Society, 2017 We construct a finitely presented, infinite, simple group that acts by homeomorphisms on the circle, but does not admit a non‐trivial action by C1 ‐diffeomorphisms on the circle. This is the first such example.
Y. Lodha
semanticscholar +1 more source
The infinite simple group V of Richard J. Thompson : presentations by permutations [PDF]
, 2015 We show that one can naturally describe elements of R. Thompson's finitely presented infinite simple group $V$, known by Thompson to have a presentation with four generators and fourteen relations, as products of permutations analogous to transpositions.
Collin Bleak, M. Quick
semanticscholar +1 more source
Integral group ring of the first Mathieu simple group [PDF]
, 2007 We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
core +2 more sources
Röver's Simple Group Is of Type $F_\infty$ [PDF]
, 2013 We prove that Claas Rover's Thompson-Grigorchuk simple group V G has type F∞. The proof involves constructing two complexes on which V G acts: a simplicial complex analogous to the Stein complex for V , and a polysimplicial complex analogous to the ...
James M. Belk, Francesco Matucci
semanticscholar +1 more source