Results 61 to 70 of about 640,694 (180)
The tensor product of m-partition algebras as a centralizer algebra of
In this paper, we concentrate on the generalized Jones result in Kennedy and Jaish (2021) which says that [Formula: see text], the tensor product of m-partition algebras is a centralizer algebra of the action of the direct product of symmetric groups ...
Amani M. Alfadhli
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On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups [PDF]
In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups $G$ are studied in respect of formation of lattices ${\rm L}(G)$ and sublattices of ${\rm L}(G)$.
Shrawani Mitkari, Vilas Kharat
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Comparison of ganglion cell-inner plexiform layer thickness among patients with intermittent exotropia according to fixation preference: a retrospective observational study [PDF]
Background This study was performed to compare the thickness of the ganglion cell-inner plexiform layer (GCIPL) depending on the presence or absence of fixation preference in patients with intermittent exotropia (IXT) with refractive values close to ...
Yeon Ju Lim, Soo Jung Lee
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Background/Objectives: High-intensity interval training (HIIT) or moderate-intensity continuous training (MICT) alone has been shown to improve metabolic health, but the effects of alternating the two training approaches as often practiced in real life ...
Eric Tsz-Chun Poon +4 more
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Alternating Quotients of Fuchsian Groups
It is shown that any finitely generated non-elementary Fuchsian group has among its homomorphic images all but finitely many of the alternating groups. This settles in the affirmative a conjecture of Graham Higman.
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Broué’s abelian defect group conjecture for alternating groups [PDF]
Let \(n\) be a positive integer and let \(G=S_n\), \(G^+=A_n\) and \(\widetilde G=\Aut(G^+)\). Let \(\mathcal O\) be a complete discrete valuation ring with an algebraically closed residue field \(k={\mathcal O}/J({\mathcal O})\) of prime characteristic \(p\). The main result of this paper is Theorem 3.1. Assume that \(p>2\) and that \(b^+\) is a block
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Thompson’s conjecture for alternating groups
Let $G$ be a finite group, and let $N(G)$ be the set of sizes of its conjugacy classes. We show that if a finite group $G$ has trivial center and $N(G)$ equals to $N(Alt_n)$ or $N(Sym_n)$ for $n\geq 23$, then $G$ has a composition factor isomorphic to an alternating group $Alt_k$ such that $k\leq n$ and the half-interval $(k, n]$ contains no primes. As
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Double transitivity of Galois Groups in Schubert Calculus of Grassmannians [PDF]
We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving ...
Sottile, Frank, White, Jacob
core
Composition of Permutation Representations of Triangle Groups [PDF]
A triangle group is denoted by $\Delta(p,q,r)$ and has finite presentation $$ \Delta(p,q,r)=\langle x,y | x^p=y^q=(xy)^r=1 \rangle .$$ We examine a method for composition of permutation representations of a triangle group $\Delta(p,q,r)$ that was used in
Mazhar, Siddiqua
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Generators for Alternating and Symmetric Groups [PDF]
Let Γ denote the modular group, that is, the free product of a group of order 2 and a group of order 3. Morris Newman investigates in [2] the factor-groups of Γ and calls them Γ-groups for short; thus a group is a Γ-group if and only if it has a generating set consisting of an element of order dividing 2 and an element of order dividing 3.
Dey, I. M. S., Wiegold, J.
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