Results 11 to 20 of about 1,310,702 (229)
$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]
, 2010 Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George
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Nijenhuis Operators and Abelian Extensions of Hom-δ-Jordan Lie Supertriple Systems
Mathematics, 2023 Representations and cohomologies of Hom-δ-Jordan Lie supertriple systems are established. As an application, Nijenhuis operators and abelian extensions of Hom-δ-Jordan Lie supertriple systems are discussed.
Qiang Li, Lili Ma
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Large $$N_\mathrm{f}$$ N f for multiple representations
European Physical Journal C: Particles and Fields, 2021 We present an extension of the large- $$N_\mathrm{f}$$ N f formalism that allows one to study cases with multiple fermion representations. The pole structure in the beta function is traced back to the intrinsic non-abelian nature of the gauge group ...
Giacomo Cacciapaglia, Shahram Vatani
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Connected components of the category of elementary abelian $p$-subgroups. [PDF]
, 2008 We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
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Genera in abelian extensions [PDF]
Proceedings of the American Mathematical Society, 1975 The principal genus in an abelian extension is characterized as the kernel of norm residue symbols at the ramified primes.
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Anomalies of non-Abelian finite groups via cobordism
Journal of High Energy Physics, 2022 We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and naturality of the η-invariant to relate anomalies in a group
Joe Davighi +2 more
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Wintenberger’s functor for abelian extensions [PDF]
Journal de théorie des nombres de Bordeaux, 2010 Let k be a finite field. Wintenberger used the field of norms to give an equivalence between a category whose objects are totally ramified abelian p -adic Lie ...
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Inverse property of nonassociative abelian extensions [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2021 Our paper deals with the investigation of extensions of commutative groups by loops so that the quasigroups that result in the multiplication between cosets of the kernel subgroup are T-quasigroups. We limit our study to extensions in which the quasigroups determining the multiplication are linear functions without constant term, called linear abelian ...
Figula, Ágota, Nagy, Péter Tibor
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Deformations and Extensions of Modified λ-Differential 3-Lie Algebras
Mathematics, 2023 In this paper, we propose the representation and cohomology of modified λ-differential 3-Lie algebras. As their applications, the linear deformations, abelian extensions and T∗-extensions of modified λ-differential 3-Lie algebras are also studied.
Wen Teng, Hui Zhang
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Field redefinition's help in constructing non-abelian gauge theories
Physics Letters B, 2019 We study, using the example of general covariance, to what extent a would-be non-abelian extension of free field abelian gauge theory can be helped by a field redefinition; answer – not much!
S. Deser, K.S. Stelle
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