Results 71 to 80 of about 52,812 (244)
Abelian Subgroups of Pro-2 Galois Groups [PDF]
Proceedings of the American Mathematical Society, 1995 Let \(K\) be a field of characteristic \(\neq 2\). Let \(K(2)\) be its maximal pro-2 Galois extension and set \(G_K(2) = \text{Gal} (K(2)/K)\). The \(a\)-invariant \(a(K)\) of \(K\) is the maximal rank of closed subgroups of \(G_K(2)\) which are tosion-free and abelian. The absolute stability index \(st(K)\) of \(K\) is the minimal positive integer \(m\
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Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
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Questions on the Borel Complexity of Characterized Subgroups [PDF]
, 2014 We propose various problems about Borel complexity of characterized subgroups of compact abelian groups, inspired by our forthcoming paper \cite{DI3}.Comment: 15 ...
Dikranjan, Dikran, Impieri, Daniele
core
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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The Optimal Single Copy Measurement for the Hidden Subgroup Problem
, 2008 The optimization of measurements for the state distinction problem has recently been applied to the theory of quantum algorithms with considerable successes, including efficient new quantum algorithms for the non-abelian hidden subgroup problem. Previous
C. Moore +13 more
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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A note on finite groups with the indice of some maximal subgroups being primes [PDF]
International Journal of Group Theory, 2017 The Theorem 12 in [A note on $p$-nilpotence and solvability of finite groups, J. Algebra 321 (2009) 1555--1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this
Cui Zhang
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*-pure subgroups of completely decomposable abelian groups [PDF]
Proceedings of the American Mathematical Society, 1987 In this note we prove that (i) homogeneous ∗ * -pure subgroups of completely decomposable groups are completely decomposable, (ii) ∗ * -pure subgroups of finite rank completely decomposable groups are almost completely decomposable. We also characterize those reduced completely decomposable groups G G ,
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Solving the n $n$‐Player Tullock Contest
Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
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Non‐amenability of mapping class groups of infinite‐type surfaces and graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract This paper completely determines the non‐amenability of the mapping class groups of infinite‐type surfaces, the mapping class groups of locally finite infinite graphs of higher ranks, gives an example of non‐amenable stabiliser of a point at infinity of a coarsely bounded generated hyperbolic Polish group, and exhibits a class of mapping class
Yusen Long
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