Results 101 to 110 of about 12,672,108 (295)
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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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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ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP
Ratio Mathematica, 2005 The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
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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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Commuting Pairs in Quasigroups
Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
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On 3‐Designs From P G L ( 2 , q )
Journal of Combinatorial Designs, Volume 33, Issue 11, Page 428-432, November 2025.ABSTRACT The group P G L ( 2 , q ) acts 3‐transitively on the projective line G F ( q ) ∪ { ∞ }. Thus, an orbit of its action on the k‐subsets of the projective line is the block set of a 3‐ ( q + 1 , k , λ ) design. We find the parameters of the designs formed by the orbit of a block of the form 〈 θ r 〉 or 〈 θ r 〉 ∪ { 0 }, where θ is a primitive ...
Paul Tricot
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Some remarks on regular subgroups of the affine group [PDF]
International Journal of Group Theory, 2012 Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
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On the number of diamonds in the subgroup lattice of a finite abelian group
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.
Fodor Dan Gregorian +1 more
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Unsolvability of the isomorphism problem for [free abelian]-by-free groups
, 2008 The isomorphism problem for [free abelian]-by-free groups is unsolvable.Comment: added reference to a paper by Bruno Zimmermann containing a similar result for (free abelian)-by-surface ...
Levitt, Gilbert
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