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All Journal Jurnal Matematika & Sains The Indonesian Journal of Computer Science
Aditya Purwa Santika
Kelompok Keilmuan Aljabar Fakultas Matematika dan Ilmu Pengetahuan Alam Institut Teknologi Bandung, Bandung
Computer Science & IT Electrical & Electronics Engineering Engineering Mathematics

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Grup Defect pada Grup PSL(2,3) dan PSL(2,5) Aditya Purwa Santika
Jurnal Matematika & Sains Vol 17, No 1 (2012)
Publisher : Institut Teknologi Bandung

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Abstract

Misalkan p bilangan prima, G grup dengan p membagi orde G dan F lapangan dengan karakteristik p. Aljabar grup atas F adalah ruang vektor dengan basis unsur di G dan dinotasikan sebagai FG. Misalkan B adalah blok dari FG, grup defect bagi B merupakan suatu verteks bagi F(G ´ G)-modul B. Dalam tulisan ini, penulis memberikan contoh perhitungan grup defect dari aljabar grup dengan basis grup PSL(2,3) dan PSL(2,5). Kata kunci: Aljabar grup, Blok, grup Defect, Verteks.   Defect Grup on PSL(2,3) and PSL(2,5) Grups Abstract Let p be a prime, G be a group with p divides the order of G and F be a field with characteristic p. Group algebra over F is a vector space with elements in G as its basis and it is denoted by FG. Let B be a block of FG, a  defect group for B is a vertex of F(G ´ G)-module B. In this paper, we give examples of defect group of group algebras with basis PSL(2,3) and PSL(2,5). Keywords: Group algebra, Block, Defect group, Vertex.
Dogfight dari Sudut Pandang Teori Permainan Rafi Prayoga Dhenanta; Aditya Purwa Santika
The Indonesian Journal of Computer Science Vol. 14 No. 4 (2025): The Indonesian Journal of Computer Science
Publisher : AI Society & STMIK Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33022/ijcs.v14i4.4902

Abstract

Dogfight is one of many scenarios happening in a battle for air-superiority. This research delves deeper into dogfight, using the perspectives of game theory. The purpose of this research is to model a strategy that can be used in a dogfight. This research models dogfight into game theory’s extensive-form-games and then simulates the model ccompuationally. From the simulation, the model developed in this research increases the winning rate of a certain player significantly.
Co-Authors Rafi Prayoga Dhenanta