Search Results - "Mináč, Ján"

Galois groups and cohomological functors by EFRAT, IDO, MINÁČ, JÁN

“…Let q=p^s be a prime power, F a field containing a root of unity of order q, and G_F its absolute Galois group. We determine a new canonical quotient \mathrm…”
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Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks by Budzinski, Roberto C, Nguyen, Tung T, Đoàn, Jacqueline, Mináč, Ján, Sejnowski, Terrence J, Muller, Lyle E

“…One of the simplest mathematical models in the study of nonlinear systems is the Kuramoto model, which describes synchronization in systems from swarms of…”
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On the indecomposability of a remarkable new family of modules appearing in Galois theory by Mináč, Ján, Schultz, Andrew, Swallow, John

“…A powerful new perspective in the analysis of absolute Galois groups has recently emerged from the study of Galois modules related to classical parameterizing…”
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Joins of circulant matrices by Đoàn, Jacqueline, Mináč, Ján, Muller, Lyle, Nguyen, Tung T., Pasini, Federico W.

“…We study the spectrum of the join of several circulant matrices. We apply our results to compute explicitly the spectrum of certain graphs obtained by joining…”
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Galois module structure of the units modulo pm of cyclic extensions of degree pn by Mináč, Ján, Schultz, Andrew, Swallow, John

“…Let p be prime, and n , m ∈ N . When K / F is a cyclic extension of degree p n , we determine the Z / p m Z [ Gal ( K / F ) ] -module structure of K × / K × p…”
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Broadcasting solutions on networked systems of phase oscillators by Nguyen, Tung T., Budzinski, Roberto C., Pasini, Federico W., Delabays, Robin, Mináč, Ján, Muller, Lyle E.

“…Networked systems have been used to model and investigate the dynamical behavior of a variety of systems. For these systems, different levels of complexity can…”
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Galois module structure of some elementary p-abelian extensions by Heller, Lauren, Mináč, Ján, Nguyen, Tung T., Schultz, Andrew, Tân, Nguyễn Duy

“…We determine the Galois module structure of the parameterizing space of elementary p -abelian extensions of a field K when Gal( K / F ) is any finite p -group,…”
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Quaternion algebras and square power classes over biquadratic extensions by Chemotti, Frank, Mináč, Ján, Nguyen, Tung T., Schultz, Andrew, Swallow, John, Tân, Nguyễn Duy

“…Recently the Galois module structure of square power classes of a field K has been computed under the action of Gal ( K/F ) in the case where Gal( K/F ) is the…”
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Neuronal activation sequences in lateral prefrontal cortex encode visuospatial working memory during virtual navigation by Busch, Alexandra, Roussy, Megan, Luna, Rogelio, Leavitt, Matthew L., Mofrad, Maryam H., Gulli, Roberto A., Corrigan, Benjamin, Mináč, Ján, Sachs, Adam J., Palaniyappan, Lena, Muller, Lyle, Martinez-Trujillo, Julio C.

“…Working memory (WM) is the ability to maintain and manipulate information ‘in mind’. The neural codes underlying WM have been a matter of debate. We…”
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Fekete polynomials, quadratic residues, and arithmetic by Mináč, Ján, Nguyen, Tung T., Duy Tân, Nguyễn

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On the Arithmetic of Generalized Fekete Polynomials by Mináč, Ján, Nguyen, Tung T., Tân, Nguyễn Duy

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Triple Massey products vanish over all fields by Mináč, Ján, Tân, Nguyễn Duy

“…We show that the absolute Galois group of any field has the vanishing triple Massey product property. Several corollaries for the structure of maximal…”
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The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields by Mináč, Ján, Tân, Nguyễn Duy

“…A major difficult problem in Galois theory is the characterization of profinite groups which are realizable as absolute Galois groups of fields. Recently the…”
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Quotients of absolute Galois groups which determine the entire Galois cohomology by Chebolu, Sunil K., Efrat, Ido, Mináč, Ján

“…For a prime power q  =  p d and a field F containing a root of unity of order q we show that the Galois cohomology ring is determined by a quotient of the…”
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On the joins of group rings by Chebolu, Sunil K., Merzel, Jonathan L., Mináč, Ján, Muller, Lyle, Nguyen, Tung T., Pasini, Federico W., Tân, Nguyễn Duy

“…Given a collection {Gi}i=1d of finite groups and a ring R, we define a subring of the ring Mn(R) (n=∑i=1d|Gi|) that encompasses all the individual group rings…”
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Construction of unipotent Galois extensions and Massey products by Mináč, Ján, Tân, Nguyễn Duy

“…For all primes p and for all fields, we find a sufficient and necessary condition of the existence of a unipotent Galois extension of degree p6. The main goal…”
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Counting Galois U 4 ( F p ) -extensions using Massey products by Mináč, Ján, Tân, Nguyễn Duy

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Galois $p$-groups and Galois modules by Chebolu, Sunil, Mináč, Ján, Schultz, Andrew

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Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays by Budzinski, Roberto C., Nguyen, Tung T., Benigno, Gabriel B., Đoàn, Jacqueline, Mináč, Ján, Sejnowski, Terrence J., Muller, Lyle E.

“…We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time…”
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Enhanced Koszul properties in Galois cohomology by Mináč, Ján, Palaisti, Marina, Pasini, Federico W., Tân, Nguyễn Duy

“…We prove that Galois cohomology satisfies several surprisingly strong versions of Koszul properties, under a well known conjecture, in the finitely generated…”
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