Results 31 to 40 of about 24,212 (190)
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.
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Доповiдi Нацiональної академiї наук України, 2021 A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators.
T.V. Velychko
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On the structure of Kac-Moody algebras
, 2020 Let $A$ be a symmetrisable generalised Cartan matrix, and let $\mathfrak g(A)$ be the corresponding Kac-Moody algebra. In this paper, we address the following fundamental question on the structure of $\mathfrak g(A)$: given two homogeneous elements $x,y \
Marquis, Timothée
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Barely Transitive Locally Nilpotent P-Groups [PDF]
Journal of the London Mathematical Society, 1997 The following notion was introduced by \textit{B. Hartley} [Algebra Logika 13, 589-602 (1974; Zbl 0305.20019)]: A group \(G\) of permutations of an infinite set \(X\) is said to be barely transitive if \(G\) itself is transitive on \(X\) while every orbit of any proper subgroup of \(G\) is finite.
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Locally graded groups with a condition on infinite subsets [PDF]
International Journal of Group Theory, 2018 Let $G$ be a group, we say that $G$ satisfies the property $mathcal{T}(infty)$ provided that, every infinite set of elements of $G$ contains elements $xneq y, z$ such that $[x, y, z]=1=[y, z, x]=[z, x, y]$.
Asadollah Faramarzi Salles +1 more
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Математичні СтудіїIn the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
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A CLASS OF LOCALLY NILPOTENT COMMUTATIVE ALGEBRAS [PDF]
International Journal of Algebra and Computation, 2011 This paper deals with the variety of commutative non associative algebras satisfying the identity [Formula: see text], γ ∈ K. In [3] it is proved that if γ = 0, 1 then any finitely generated algebra is nilpotent. Here we generalize this result by proving that if γ ≠ -1, then any such algebra is locally nilpotent. Our results require characteristic ≠ 2,
Behn, Antonio +2 more
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On Extensions over Semigroups and Applications
Entropy, 2016 Applying a theorem according to Rhemtulla and Formanek, we partially solve an open problem raised by Hochman with an affirmative answer. Namely, we show that if G is a countable torsion-free locally nilpotent group that acts by homeomorphisms on X, and
Wen Huang, Lei Jin, Xiangdong Ye
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Totally disconnected locally compact groups locally of finite rank
, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
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