Results 71 to 80 of about 266 (183)
On the semi cover-avoiding property and F-supplementation [PDF]
International Journal of Group Theory, 2012 In this paper, we investigate the influence of some subgrops of Sylow subgroups with semi cover-avoiding property and F-supplementation on the structure of finite groups and generalize a series of known results.
Xiaolan Yi, Changwen Li
doaj
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
wiley +1 more source
Abelian Sylow subgroups in a finite group
Journal of Algebra, 2014 The authors prove the following theorem: If \(p\neq 3\), \(5\) is a prime then Sylow \(p\)-subgroups of a finite group \(G\) are Abelian if and only if the class sizes of the \(p\)-elements of \(G\) are all coprime to \(p\). This gives a solution (for \(p\neq 3\), \(5\)) to a problem posed by \textit{R. Brauer} in 1956 (see Problem 12 in [Lect.
Navarro, Gabriel, Tiep, Pham Huu
openaire +2 more sources
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
wiley +1 more source
On Π-Normal Subgroups and the p-Supersolvability of Finite Groups
AxiomsRather than using all maximal subgroups of a Sylow p-subgroup, we work with a prescribed subfamily. For a p-solvable group G, we show that p-supersolvability follows when the members of this subfamily are Π-normal in the Sylow normalizer and when G ...
Jiawen He +3 more
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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
wiley +1 more source
Finite groups in which normality, permutability or Sylow permutability is transitive
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if NG(H) ∩ HG = H. We obtain a new characterization of these
Malinowska Izabela Agata
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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
wiley +1 more source
Pilot Design for Sparse Channel Estimation in Orthogonal Frequency Division Multiplexing Systems
Journal of Telecommunications and Information Technology, 2018 Orthogonal Frequency Division Multiplexing (OFDM) is a well-known technique used in modern wide band wireless communication systems. Coherent OFDM systems achieve its advantages over a multipath fading channel, if channel impulse response is estimated ...
P. Vimala, G. Yamuna
doaj +1 more source