Hasil Pencarian  ::  Simpan CSV :: Kembali

"Fundamentals of group theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. "

"Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups, the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided."

"ABSTRAKTugas akhir ini membahas mengenai order group simetri dari suatu bangun yang beraturan pada bangun berdimensi dua dan tiga, untuk bangun yang berdimensi tiga hanya akan dibahas order group rotasi proper dari tetrahedron dan octahedron. Selain itu dibahas pula mengenai representasi tak terreduksi dan karakter dari pada elemen group berhingga S3 dan S4 serta matriks unitary digunakan sebagai representasi tak terreduksinya, sedangkan untuk menentukan dimensi representasi tak terreduksi setiap elemen group berhingga S3 dan S4 digunakan diagram Young standar."