Results 71 to 80 of about 280 (183)
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
Expansion of normal subsets of odd‐order elements in finite groups
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
Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
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
Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13
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
Maximal 3-local subgroups of symmetric groups [PDF]
The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
doaj
Fixed‐point posets of groups and Euler characteristics
Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
wiley +1 more source
Fusion Systems and Rank $2$ Simple Groups of Lie Type
For any prime p and S a p-group isomorphic to a Sylow p-subgroup of a rank $2$ simple group of Lie type in characteristic p, we determine all saturated fusion systems supported on S up to isomorphism.
Martin van Beek
doaj +1 more source
Finite simple groups with some abelian Sylow subgroups
In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
Rulin Shen, Yuanyang Zhou
doaj
Pilot Design for Sparse Channel Estimation in Orthogonal Frequency Division Multiplexing Systems
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

