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pro vyhledávání: '"Hutchens, John"'
We consider bounds on maximum nullity of a graph via transversal numbers of compatible collections of forts. Results include generalizations of theorems from symmetric to combinatorially symmetric matrices, special bases of matrix nullspaces derived
Externí odkaz:
http://arxiv.org/abs/2407.03492
We investigate the sparsity of null vectors of real symmetric matrices whose off-diagonal pattern of zero and nonzero entries is described by the adjacencies of a graph. We use the definition of the spark of a matrix, the smallest number of nonzero c
Externí odkaz:
http://arxiv.org/abs/2307.00376
Autor:
Hunnell, Mark, Hutchens, John
For $\mathrm{O}(\mathrm{q},k)$, the orthogonal group over a field $k$ of characteristic 2 with respect to a quadratic form $\mathrm{q}$, we discuss the isomorphism classes of fixed points of involutions. When the quadratic space is either totally sin
Externí odkaz:
http://arxiv.org/abs/2301.05887
In this article we study the involutions of $\mathrm{O}(V,\mathrm{q})$, an orthogonal group for a vector space $V$ with quadratic form $\mathrm{q}$ over a field of characteristic 2. The classification proceeds by discussing conjugacy classes of invol
Externí odkaz:
http://arxiv.org/abs/1903.09904
Akademický článek
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Autor:
Hutchens, John, Schwartz, Nathaniel
In this paper we give a classification of classes of involutions on an automorphism group of an octonion algebra over fields of characteristic 2, and describe the classes of their fixed point groups.
Externí odkaz:
http://arxiv.org/abs/1611.09641
Autor:
Hutchens, John
Automorphisms of order $2$ are studied in order to understand generalized symmetric spaces. The groups of type $E_6$ we consider here can be realized as both the group of linear maps that leave a certain determinant invariant, and also as the identit
Externí odkaz:
http://arxiv.org/abs/1504.04587
Publikováno v:
In Linear Algebra and Its Applications 15 May 2020 593:228-250
Autor:
Hutchens, John
Publikováno v:
Journal of Lie Theory (2015), Vol. 24, No. 4, pg 1003-1022
We continue the classification of isomorphism classes of k-involutions of exceptional algebraic groups. In this paper we classify k-involutions for split groups of type F4 over certain fields, and their fixed point groups.The classification of k-invo
Externí odkaz:
http://arxiv.org/abs/1311.5872
Autor:
Bishop, Abigail, Cyr, Christopher, Hutchens, John, May, Clover, Schwartz, Nathaniel, Turner, Bethany
Let $G=\Dc_{n}$ be the dicyclic group of order $4n$. Let $\varphi$ be an automorphism of $G$ of order $k$. We describe $\varphi$ and the generalized symmetric space $Q$ of $G$ associated with $\varphi$. When $\varphi$ is an involution, we describe it
Externí odkaz:
http://arxiv.org/abs/1310.0121