Results 71 to 80 of about 518 (187)
Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
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On nilpotent filiform Lie algebras of dimension eight
International Journal of Mathematics and Mathematical Sciences, 2003 The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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Recognizing powers in nilpotent groups and nilpotent images of free groups [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractAn element in a free group is a proper power if and only if it is a proper power in every nilpotent factor group. Moreover there is an algorithm to decide if an element in a finitely generated torsion-free nilpotent group is a proper power.
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Coxeter's enumeration of Coxeter groups
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
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Actions of nilpotent groups on nilpotent groups
Glasgow Mathematical JournalAbstractFor 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 $N$ .
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The first two group theory papers of Philip Hall
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
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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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Probabilistically nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2017 To appear in Proc. Amer.
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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
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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
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