Results 1 to 10 of about 11,845 (129)
Journal of High Energy Physics, 2017 Coulomb branches of a set of 3d N $$ \mathcal{N} $$ = 4 supersymmetric gauge theories are closures of nilpotent orbits of the algebra son $$ \mathfrak{so}(n) $$.
Santiago Cabrera +2 more
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On Generalized σ-Subnormal Subgroups of Finite Groups [PDF]
Advances in Group Theory and Applications, 2023 Let σ = {σi | i ∈ I} be some partition of the set of all primes P, G a finite group and σ(G) = {σi | σi ∩ π(G) ≠ ∅}. A subgroup A of G is said to be generalized σ-subnormal in G if A = ⟨L, T⟩, where L is a modular subgroup and T is a σ-subnormal subgroup
Muhammad Tanveer Hussain
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A Note on Formations with the Shemetkov Property [PDF]
Advances in Group Theory and Applications, 2020 In this paper we described all hereditary formations with the Shemetkov property F such that the intersection of all F-maximal subgroups coincides with the F-hypercenter of a finite group.
Viachaslau I. Murashka
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Finite groups with given systems of generalised σ-permutable subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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Finite Groups with $H_σ$-Permutably Embedded Subgroups [PDF]
Advances in Group Theory and Applications, 2017 Let $G$ be a finite group. Let $\sigma=\{\sigma_i|i\inI\}$ be a partition of the set of all primes $P$ and $n$ an integer. We write $\sigma(n) = \{\sigma_i|\sigma_i\cap \pi(n)\neq\emptyset\}$, $\sigma(G) = \sigma(|G|)$.
Darya A. Sinitsa
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On σ-Residuals of Subgroups of Finite Soluble Groups
Mathematics, 2023 Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by a chain of subgroups H=H0⊆H1⊆⋯⊆Hn=G where, for every j=1,⋯,n, Hj−1 is normal in Hj or Hj/CoreHj(Hj−1)
A. A. Heliel +3 more
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On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups
Mathematics, 2020 Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel +2 more
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The influence of the totally permutability of subgroups on σ-nilpotent residual(子群的完全置换性对σ-幂零根的影响)
Zhejiang Daxue xuebao. Lixue banSimilar to the influence on nilpotent residual of the totally permutability of subgroups,naturally,we can study their influence on σ-nilpotent residual when nilpotent groups are generalized to σ-nilpotent groups.The intersection of all normal subgroups N
施智杰(SHI Zhijie) +2 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
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