A rhetorical analysis of the charm of Korean women singer group "ITZY"

The popularity of Korean music group "ITZY" has risen sharply, becoming a symbolic music group leading a current generation of 'Korean' in Korea and abroad. This work applies the ancient Western rhetoric methodology as the theoretical basis, and removes the four rhetorical perspectives of "association", "arrangement", "performance" and "publication" in addition to "reciting" in five fields. Through the rhetoric methodology to analyze cultural phenomena, we try to infer and predict the trend of the times reflected by this cultural phenomenon.

The Group Action on the Finite Projective Planes of Orders 29, 31, 32, 37

The goal of this research is to study the group effects on a projective plane PG (2,q), when is not a prime, and then describe the geometry of these orbits by Singer group for values of q=29,31,32,37 . Also, to establish three dimensional codes and arcs and study the properties of subsets in a projective plane of order q.

Hyperovals arising from a Singer group action on H(3,q2)$\mathcal{H}(3, q^2)$, q even

The action of a Singer cyclic group of order

On the Orbits of Singer Groups and Their Subgroups

We study the action of Singer groups of projective geometries (and their subgroups) on $(d-1)$-flats for arbitrary $d$. The possibilities which can occur are determined, and a formula for the number of orbits of each possible size is given. Motivated by an old problem of J.R. Isbell on the existence of certain permutation groups we pose the problem of determining, for given $q$ and $h$, the maximum co-dimension $f_q(n, h)$ of a flat of $PG(n-1, q)$ whose orbit under a subgroup of index $h$ of some Singer group covers all points of $PG(n-1, q)$. It is clear that $f_q (n, h) < n - \log_q (h)$; on the other hand we show that $f_q(n, h) \geq n - 1 - 2 \log _q (h)$.

On Automorphism Groups of Divisible Designs

A (group) divisible design is a tactical configuration for which the v points are split into m classes of n each, such that points have joining number λ (resp. λ2) if and only if they are in the same (resp. in different) classes. We are interested in such designs with a nice automorphism group. We first investigate divisible designs with equally many points and blocks admitting an automorphism group acting regularly on all points and on all blocks, i.e., with a Singer group (Singer [50] obtained the first result in this direction for the finite projective spaces).As in the case of block designs, one may expect a divisible design with a Singer group to be equivalent to some sort of difference set; as it turns out, one here obtains a generalisation of the relative difference sets of Butson and Elliott [11] and [20].

Singer Groups

Interest in the Singer groups has arisen in various places. The name itself results from the connection Singer [7] made between these groups and perfect difference sets, and this is closely associated with the geometric property that a Singer group is regular on the points of a projective space. Some information about these groups appears in Huppert's book [3, p. 187]. Singer groups are frequently useful in constructing examples and counterexamples. Our aim in this paper is to make a systematic study of the Singer subgroups of the linear groups, with a particular view to analyzing the examples they provide of Frobenius regular groups. Frobenius regular groups are a class of permutation groups generalizing the Zassenhaus groups, and Keller [5] has shown recently that they provide a new characterization of A6 and M11.