Hegemoni Kiai di Desa Payaman Solokuro Lamongan pada Pemilu 2019

<p class="06IsiAbstrak"><span lang="EN-GB">A Kiai has a high position both socially and spiritually that affects the power of influence over society's choices. The writing was intended to analyze the travel process of hegemoni by Kiai as a sales figure for the golongan karya political party. The research approach used is descriptive qualitative through interviews and observations at the Darul Ma 'arif village Payaman Solokuro Lamongan. The hegemonic theory of Antonio gramsci was used as a basis for analysis. The final result is that the hegemoni sequence of Kiai is absorbed in two parts. This division is based on the difference in age and background. The first group is a society that is over 60 years old and hegemoni is taking a spiritual approach. Its real form, the practice of hegemony was melted down during recruitment. Intellectual ramming is directed as a measure of obedience to the strings to receive a blessing. The second group is scolars and educators. Hegemoni in this group uses discussion forums or coordination meetings by all members of the foundation. The hegemonic column for the educated and more rational group of educators. The real inversion, ramming was done by showing a good track record by the golongan karya party.</span></p>

Bayesian Decision Making in Groups is Hard

Hardness of Making Rational Group Decisions

RATIONAL NEARLY SIMPLE GROUPS

A finite group whose irreducible complex characters are rational-valued is called a rational group. The aim of this paper is to determine the rational almost simple and rational quasi-simple groups.

Power-Sharing Coalitions and Ethnic Armed Conflict

How do ethnic power-sharing coalitions affect the risk of violent conflict? We argue that government leaders anticipate costly conflict and form larger ruling coalitions as uncertainty over threats increases. We develop a formal model of ethnic coalition formation that balances rational group leaders’ desire to maximize their own power and the anticipation of future costly conflict. The model locates the key source of violent conflict in uncertainty over the size of radical sub-groups that prefer conflict over cooperation. Where ruling elites manage to satisfy radical sub-group leaders by sharing power, the risk of rebellion decreases. Using the Ethnic Power Relations dataset, we find that multiethnic ruling coalitions with internally fragmented groups decrease the risk of armed conflict while having a negligible effect on coups. A novel selection estimator reveals that the conflict-reducing effect of power sharing increases once we consider the endogeneity of coalition formation and conflict.

Zassenhaus conjecture on torsion units holds for SL(2, 𝑝) and SL(2, 𝑝2)

H. J. Zassenhaus conjectured that any unit of finite order and augmentation 1 in the integral group ring {\mathbb{Z}G} of a finite group G is conjugate in the rational group algebra {\mathbb{Q}G} to an element of G. We prove the Zassenhaus conjecture for the groups {\mathrm{SL}(2,p)} and {\mathrm{SL}(2,p^{2})} with p a prime number. This is the first infinite family of non-solvable groups for which the Zassenhaus conjecture has been proved. We also prove that if {G=\mathrm{SL}(2,p^{f})} , with f arbitrary and u is a torsion unit of {\mathbb{Z}G} with augmentation 1 and order coprime with p, then u is conjugate in {\mathbb{Q}G} to an element of G. By known results, this reduces the proof of the Zassenhaus conjecture for these groups to proving that every unit of {\mathbb{Z}G} of order a multiple of p and augmentation 1 has order actually equal to p.

Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals

Let [Formula: see text] be a field of characteristic 2. In this paper, we provide an interesting application of quadratic forms over [Formula: see text] in determination of the Wedderburn decomposition of the rational group algebra [Formula: see text], where [Formula: see text] is a real special [Formula: see text]-group. We further apply these computations to exhibit two non-isomorphic real special [Formula: see text]-groups with isomorphic rational group algebra.