Results 101 to 110 of about 12,692,686 (297)

Actions of nilpotent groups on nilpotent groups

Glasgow Mathematical Journal
AbstractFor finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the Sylow $p$ -subgroups of $J$ that mirrors the primary decomposition of $H^1(J,N)$ for abelian $N$ .
openaire   +3 more sources

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source

Nilpotent orbits and the Coulomb branch of T σ (G) theories: special orthogonal vs orthogonal gauge group factors

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, Amihay Hanany, Zhenghao Zhong   +2 more
doaj   +1 more source

On the Mislin genus of certain circle bundles and noncancellation

International Journal of Mathematics and Mathematical Sciences, 2000
In an earlier paper, the authors proved that a process described much earlier for passing from a finitely generated nilpotent group N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢(N)≅𝒢(X).
Peter Hilton, Dirk Scevenels
doaj   +1 more source

Probabilistically nilpotent groups [PDF]

Proceedings of the American Mathematical Society, 2017
To appear in Proc. Amer.
openaire   +3 more sources

Quiver theories and formulae for Slodowy slices of classical algebras

Nuclear Physics B, 2019
We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera, Amihay Hanany, Rudolph Kalveks   +2 more
doaj   +1 more source

Partially S-embedded minimal subgroups of finite groups [PDF]

International Journal of Group Theory, 2013
Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes with every Sylow subgroup of G. If HP=PH hold for every Sylow subgroup P of G with (|P|, |H|)=1), then H is called an s-semipermutable subgroup of G.
Tao Zhao, Qingliang Zhang
doaj  

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]

International Journal of Group Theory, 2014
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
doaj  

Commutators associated with Schrödinger operators on the nilpotent Lie group

Journal of Inequalities and Applications, 2017
Assume that G is a nilpotent Lie group. Denote by L = − Δ + W $L=-\Delta +W $ the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class B q 1 $B_{q_{1}}$ for some q 1 ≥ D 2 $q_{1} \geq ...
Tianzhen Ni, Yu Liu
doaj   +1 more source

Nilpotent $p$-local finite groups

, 2011
In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
Cantarero, J., Scherer, J., Viruel, A.
openaire   +4 more sources