let $g $ be a finite group and let $gamma(g)$ be the prime graph‎ ‎of g‎. ‎assume $2 < q = p^{alpha} < 100$‎. ‎we determine finite groups‎ ‎g such that $gamma(g) = gamma(u_3(q))$ and prove that if $q neq‎ ‎3‎, ‎5‎, ‎9‎, ‎17$‎, ‎then $u_3(q)$ is quasirecognizable by prime graph‎, ‎i.e‎. ‎if $g$ is a finite group with the same prime graph as the‎ ‎finite simple group $u_3(q)$‎, ‎then $g$ has a un...

let l := u3(11). in this article, we classify groups with the same order and degree pattern as an almost simple group related to l. in fact, we prove that l, l:2 and l:3 are od-characterizable, and l:s3 is 5-fold od-characterizable.

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in this paper we will prove that the simple group g2(q) where 2 < q = 1(mod3)is recognizable by the set of its order components, also other word we prove that if g is anite group with oc(g) = oc(g2(q)), then g is isomorphic to g2(q).

In this paper we present a new, practical algorithm for solving the subgroup conjugacy problem in the general linear group. Mathematics Subject Classification: 20-04, 20H30. 1 Introductory Material This paper presents a new algorithm to solve a subcase of the following: Problem. Given two groups G,H ≤ K, determine whether there exists a k ∈ K such that G = H. If so, return one such k. This prob...

SUMMARY We derive the joint distribution of the sequence of estimates of the parameter vector in a normal general linear model when data accumulate over a series of analyses. This sequence of estimates has a remarkably simple covariance structure, even when observations are correlated, allowing standard group sequential tests to be applied in very general settings. If observations' variances an...

We show a correspondence between tensor representations of the super general linear group GL(m|n) and tensor representations of the general linear superalgebra gl(m|n) constructed by Berele and Regev in [3].

Matrices over a finite field having fixed rank and restricted support are a natural qanalogue of rook placements on a board. We develop this q-rook theory by defining a corresponding analogue of the hit numbers. Using tools from coding theory, we show that these q-hit and q-rook numbers obey a variety of identities analogous to the classical case. We also explore connections to earlier q-analog...

This article discusses general modeling of multisubject and/or multisession FMRI data. In particular, we show that a two-level mixed-effects model (where parameters of interest at the group level are estimated from parameter and variance estimates from the single-session level) can be made equivalent to a single complete mixed-effects model (where parameters of interest at the group level are e...

In this paper we give a modular description of a certain compactification KGln of the general linear group Gln. The variety KGln is constructed as follows: First one embeds Gln in the obvious way in the projective space which contains the affine space of n× n matrices as a standard open set. Then one successively blows up the closed subschemes defined by the vanishing of the r×r subminors (1 ≤ ...