Results 81 to 90 of about 538,257 (210)
Cpn$C_{p^n}$‐equivariant Mahowald invariants
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
wiley +1 more source
On the Real Homotopy Type of Generalized Complex Nilmanifolds
Mathematics, 2020 We prove that for any n≥4, there are infinitely many real homotopy types of 2n-dimensional nilmanifolds admitting generalized complex structures of every type k, for 0≤k≤n.
Adela Latorre +2 more
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
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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
wiley +1 more source
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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On almost nilpotent-by-abelian lie algebras
Linear Algebra and its Applications, 1996 The authors show that a finite dimensional Lie algebra over a field \(F\) is almost nilpotent by abelian if and only if \(L\) is simple semiabelian or \(L=sl_2(F)\) where \(F\) is of characteristic 0. Then they consider the case of prime characteristic \(p\). Suppose that \(L\) is solvable and Frattini free.
Bowman, Kevin, Towers, David A.
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On Maximal Extensions of Nilpotent Lie Algebras
Functional Analysis and Its Applications, 2022 Corrected version The statement of Theorem 2 is false and it has been ...
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Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time
Қарағанды университетінің хабаршысы. Математика сериясыThis paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
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, 2004 In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras
Williams, Michael Peretzian
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