Results 71 to 80 of about 250 (183)

On the intersections of nilpotent subgroups in simple groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley   +1 more source

Groups in which Sylow subgroups and subnormal subgroups permute

Illinois Journal of Mathematics, 2003
A finite group is called a PST-group if its subnormal subgroups permute with its Sylow subgroups. It is shown that if \(G\) is a PST-group and \(H_1/K_1\) and \(H_2/K_2\) are isomorphic Abelian chief factors of \(G\) with \(H_1H_2\subseteq G'\), then these factors are \(G\)-isomorphic (Theorem 2).
Ballester-Bolinches, A., Beidleman, J. C., Heineken, H.   +2 more
openaire   +3 more sources

Derangements in intransitive groups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
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

Alperin's bound and normal Sylow subgroups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng, J. Miquel Martínez, Damiano Rossi   +2 more
wiley   +1 more source