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Maximal abelian subgroups of the finite symmetric group [PDF]
Let $G$ be a group. For an element $a\in G$, denote by $\cs(a)$ the second centralizer of~$a$ in~$G$, which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$.
Janusz Konieczny
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Compact Kähler threefolds with the action of an abelian group of maximal rank [PDF]
17 pages, Introduction reorganized, Remark 3.2 added, Proceedings of the American Mathematical Society (to appear)
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Groups of finite Morley rank with a generically multiply transitive action on an abelian group
We investigate the configuration where a group of finite Morley rank acts definably and generically $m$-transitively on an elementary abelian $p$-group of Morley rank $n$, where $p$ is an odd prime, and $m\geqslant n$. We conclude that $m=n$, and the action is equivalent to the natural action of $\operatorname{GL}_n(F)$ on $F^n$ for some algebraically ...
Berkman, Ayşe, Borovik, Alexandre
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New models for some free algebras of small ranks
Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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Elekes-Szabó for groups, and approximate subgroups in weak general position
Elekes-Szabó for groups, and approximate subgroups in weak general position, Discrete Analysis 2023:6, 28 pp. An important theorem of Elekes and Szabó shows that given an algebraic relation between triples of complex numbers (such as e.g.
Martin Bays +2 more
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Dieudonné theory via cohomology of classifying stacks
We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
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Exploring Seiberg-like dualities with eight supercharges
We propose a family of IR dualities for 3d N $$ \mathcal{N} $$ = 4 U(N) SQCD with N f fundamental flavors and P Abelian hypermultiplets i.e. P hypermultiplets in the determinant representation of the gauge group.
Anindya Dey
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With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge symmetries.
Andreas P. Braun +4 more
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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