Results 61 to 70 of about 45,695 (240)
On finitely generated left nilpotent braces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if B$B$ is left nilpotent of class at most 2, that is B3=0$B^3 = 0$, then B$B$ is right nilpotent of class at most 3, that is B(4)=0$B^{(4)} = 0$. In addition, we construct a free object in
Hangyang Meng +3 more
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(c,1,...,1) Polynilpotent Multiplier of some Nilpotent Products of Groups [PDF]
Mathematics Interdisciplinary Research, 2018 In this paper we determine the structure of (c,1,...,1) polynilpotent multiplier of certain class of groups. The method is based on the characterizing an explicit structure for the Baer invariant of a free nilpotent group with respect to the variety of ...
Azam Kaheni, Saeed Kayvanfar
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Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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Finite semigroups that are minimal for not being Malcev nilpotent
, 2014 We give a description of finite semigroups $S$ that are minimal for not being Malcev nilpotent, i.e. every proper subsemigroup and every proper Rees factor semigroup is Malcev nilpotent but $S$ is not.
Jespers, E., Shahzamanian, M. H.
core +1 more source
Journal of Algebra, 2006 AbstractIn this paper we prove some results concerning how much information about the structure of a finite group can be gained from knowledge of the set of sizes of the conjugacy classes. We give examples to show that in general nilpotency cannot be recognised.
Alan R. Camina, Rachel Camina
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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
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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The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Some results on characterization of finite group by non commuting graph [PDF]
Transactions on Combinatorics, 2012 The non commuting graph of a non-abelian finite group $G$ is defined as follows: its vertex set is $G-Z(G)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity.
Mohammad Reza Darafsheh +1 more
doaj
Probabilistically nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2017 To appear in Proc. Amer.
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