Groups whose vanishing class sizes are prime powers

For a finite group 𝐺, an element is called a vanishing element of 𝐺 if it is a zero of an irreducible character of 𝐺; otherwise, it is called a non-vanishing element. Moreover, the conjugacy class of an element is called a vanishing class if that element is a vanishing element. In this paper, we describe finite groups whose vanishing class sizes are all prime powers, and on the other hand we show that non-vanishing elements of such a group lie in the Fitting subgroup which is a proof of a conjecture mentioned in [I. M. Isaacs, G. Navarro and T. R. Wolf, Finite group elements where no irreducible character vanishes, J. Algebra 222 (1999), 2, 413–423] under this special restriction on vanishing class sizes.

Modus Operandi dan Problematika Penanggulangan Tindak Pidana Penipuan Daring

Online fraud experienced by the society in general perspective, and the East Java community in particular. The victimVictims hope is hoping that the perpetrator can be arrested, and the victim's loss got returned. Beside the technical constraints faced by law enforcement regarding privacy and data security regimes that also protect perpetrators, there is also problem in the rule of law. The norm specifically regulated in Article 28 paragraph (1) Law 11 of 2008 on Electronic Transaction Information (UU ITE) has a special restriction because of its consumer protection dimension. This article is a result of a research conducted regarding the profile of the modus operandi of online fraud in East Java and outlining the emerging legal problems. The research method used is juridical empiric and juridical normative, empiric juridical used to gather data, whereas juridical normative by literature study. The research findings are: it is necessity to reformulate the norms related to online fraud in the ITE Law because in its modus, there are cases of online fraud which not covered by Article 28 paragraph (1) of the ITE Law. IntisariTindak pidana penipuan daring cukup banyak dialami masyarakat pada umumnya, dan masyarakat Jawa Timur pada khususnya. Korban sangat berharap pelakunya dapat ditangkap kemudian uang atau kerugian korban dikembalikan. Selain kendala teknis yang dialami penegak hukum dalam rezim privasi dan keamanan data yang juga melindungi pelaku, juga terdapat problematika dalam pengaturan norma hukum. Norma yang diatur secara khusus dalam Pasal 28 ayat (1) UU No. 11 Tahun 2008 tentang Informasi Transaksi Elektronik (UU ITE) memiliki batasan khusus karena dimensi perlindungan konsumennya. Tulisan berikut ini merupakan hasil penelitian tentang profil modus operandi tindak pidana penipuan daring di Jawa Timur, penormaannya terkait tindak pidana tersebut dan menguraikan problematika hukum yang muncul. Metode penelitan yang digunakan adalah yuridis empiris dan yuridis normatif, yuridis empiris dilakukan dengan pengambilan dan pengolahan data sedangkan yuridis normatif dengan cara studi kepustakaan. Temuan penelitian adalah perlunya reformulasi norma terkait penipuan daring dalam UU ITE karena dalam profil modusnya terdapat kasus penipuan daring yang tidak tercakup dalam Pasal 28 ayat (1) UU ITE.

Determining a Binary Matroid from its Small Circuits

It is well known that a rank-$r$ matroid $M$ is uniquely determined by its circuits of size at most $r$. This paper proves that if $M$ is binary and $r\ge 3$, then $M$ is uniquely determined by its circuits of size at most $r-1$ unless $M$ is a binary spike or a special restriction thereof. In the exceptional cases, $M$ is determined up to isomorphism.

The Construction of Racial Difference in Twentieth-Century Britain: The Special Restriction (Coloured Alien Seamen) Order, 1925

In the course of the past several decades, scholars have exposed Black people's long history of life and work in Britain, but their approaches to racial conflict have slighted the historical contingency of racial difference itself. Black workers have been presented as logical, visible scapegoats in an otherwise homogeneous working class, and interracial hostility as an ineluctable product of economic or sexual competition between two mutually exclusive and naturally antagonistic groups of working men. Scholars examining Black people's experience in Britain under the rubric “immigrants and minorities” have placed particular emphasis on racial conflicts, xenophobia, and prejudice, which they see as evidence of “traditions of intolerance” widespread in British society. Such interpretations leave unchallenged the assumption that racial or ethnic hostility is latent in social relations, resurfacing in any crisis. Whatever the intentions of their authors, such assumptions can all too easily be used to justify rather than to combat conflict and exclusion.Intolerance, bigotry, prejudice, moreover, are not explanations for racial or ethnic conflict: in themselves they require explanation. In focusing on “attitudes,” and behaviors, these works neglect to examine the structural underpinnings of popular racism and xenophobia—in particular the ways that Black and white working people were positioned in relation to each other within a system also riven by class, gender, skill, and other power dynamics. What many scholars have taken for granted, indeed, is the objective or fixed quality of racial difference itself and its inexorably divisive effects.

28. Some Problems Concerning the So-Called Survivors of the Yin Dynasty

ABSTRACTThe basic error in Hu Shi's “An Exposition on Confucians” lay in discussing the basic nature of the Confucian school on the basis of the “tragic fate and miserable status of the survivors of the Shang”; for half a century this mistaken premise has been accepted by most historians as proven. On the basis of an analysis of pre-Qin literary sources, this paper first proves that there was no “tragedy of the defeated state”; on the contrary, the Yin survivors continued to possess considerable political power and quite high social status. Second, on the basis of newly un earthed Shang and Zhou inscriptions, the fate and status of the Shang survivors is set forth from three sides: (1) The history of the Wei Shi clan and Lu Sheng clan of the Guanzhong region, for which genealogies of seven-eight or six-seven generations exist, is reconstructed on the basis of, for the former, the Ding bronze horde newly unearthed from Fufeng Zhuangbai, and, for the latter, the inscriptions on already known as well as recently unearthed bronze vessels from the same area. Both clans were survivors from the Shang and close relatives of the Shang king; they possessed cities, subjects, and official positions, as well as holding offices in charge of troops. (2) The same conclusion may be reached in individual cases in various other kingdoms, such as for Mo Situ Sung of the state of Wei , and Dong Hefu of the state of Yan . As for the Ling Shi , Chen Chen and Deng of Cheng Zhou , Cheng Zhou is the ancient home of the Shang survivors, yet they seem not to have been the object of any special restriction or suppression. This section is based solely on inscriptions; the conclusions reached, however, are completely in agreement with those derived from literary evidence in the previous section. Finally an attempt is made to explain why the survivors of the Shang had land, subjects, offices, and power. We believe that it was due to a political and social structure with the clan as the primary unit. A complete explication of this question awaits a detailed study of oracle-bone and archaeological source material.

Reconsidering Some Passages in Wittgenstein

I want to consider some difficulties which I have on rereading the passages on “common properties” or “common features” and “family resemblances” in The Blue Book (p. 17) and in Philosophical Investigations (§65 - §71 ). These passages are not as easy to read as they once were. Wittgenstein tells us that we think, or have a tendency to think, that all the things to which we apply a general word have some property or feature in common, and he tells us that we believe it is because of this common property or feature that we apply the same word to them. In The Blue Book the phrase is “common property”; in Philosophical Investigations it is “common feature.” Wittgenstein may have changed from the word “property” to the word “feature” because the word “property” is obviously too limited in its application. We speak of the properties of mercury or neoprene but not of the properties of barnowls or slatterns. The word “feature” also seems too limited in a way, but he may have chosen this word mainly because it fits his metaphor of family resemblances. I do not think that Wittgenstein wants to impose any special restriction at this point, so I shall use the word “feature” only where it is appropriate, and I shall use the less limiting word “characteristic” where it seems more appropriate than the word “feature.” Thus I assume that Wittgenstein means to examine our tendency to think that a general word is applied to things because those things have some features or features, characteristic or characteristics in common.