Results 51 to 60 of about 250 (183)
The Sylow Subgroups of a Finite Reductive Group [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2018 version ...
Enguehard, Michel, Michel, Jean
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Independence and strong independence complexes of finite groups
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
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On diameters estimations of the commuting graphs of Sylow $p$-subgroups of {the} symmetric groups
Karpatsʹkì Matematičnì Publìkacìï, 2013 {{The} commuting graph of a group $G$ is an undirected graph whose vertices arenon-central elements of $G$ and two distinct vertices $x,y$ are adjacent if andonly if $xy=yx$.
Yu. Yu. Leshchenko, L. V. Zoria
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Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT Binary search trees (BSTs) are fundamental data structures whose performance is largely governed by tree height. We introduce a block model for constructing BSTs by embedding internal BSTs into the nodes of an external BST—a structure motivated by parallel data architectures—corresponding to composite permutations formed via Kronecker or ...
John Peca‐Medlin, Chenyang Zhong
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Expansion of normal subsets of odd‐order elements in finite groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let G$G$ be a finite group and K$K$ a normal subset consisting of odd‐order elements. The rational closure of K$K$, denoted DK$\mathbf {D}_K$, is the set of elements x∈G$x \in G$ with the property that ⟨x⟩=⟨y⟩$\langle x \rangle = \langle y \rangle$ for some y$y$ in K$K$.
Chris Parker, Jack Saunders
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Supersoluble conditions and transfer control [PDF]
International Journal of Group Theory, 2013 In this paper we give a new condition for a Sylow p-subgroup of a finite group to control transfer. Then it is deduced a characterization of supersoluble group that can be seen as a generalization of the well konwn result concerning the supersolubility ...
Anna Luisa Gilotti, Luigi Serena
doaj
Characters, commutators and centers of Sylow subgroups
Representation Theory, 2023 The character table of a finite group G G determines whether
Navarro, Gabriel, Sambale, Benjamin
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
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On weakly SS-quasinormal and hypercyclically embedded properties of finite groups [PDF]
International Journal of Group Theory, 2014 A subgroup H is said to be s-permutable in a group G, if HP=PH hold for every Sylow subgroup P of G. If there exists a subgroup B of G such that HB=G and H permutes with every Sylow subgroup of B, then H is said to be SS-quasinormal in G.
Tao Zhao
doaj
Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13
Journal of Combinatorial Designs, Volume 34, Issue 3, Page 119-138, March 2026.ABSTRACT This paper focuses on the investigation of simple 3‐( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
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