منابع مشابه
Finite p-groups with few non-linear irreducible character kernels
Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
متن کاملCharacter Kernels of Discrete Groups1
Let G be an arbitrary discrete group and let T = C[G] be its group algebra over the complex numbers C. If 9? is an irreducible representation of the algebra then 9i(r)=P is primitive and hence isomorphic to a dense set of linear transformations over D, the commuting ring of 9J [4, p. 28]. Let L be the center of D. If dimr, P < °o then we say that 9? is finite and since P is central simple over ...
متن کاملCharacter-based kernels for novelistic plot structure
Better representations of plot structure could greatly improve computational methods for summarizing and generating stories. Current representations lack abstraction, focusing too closely on events. We present a kernel for comparing novelistic plots at a higher level, in terms of the cast of characters they depict and the social relationships between them. Our kernel compares the characters of ...
متن کاملCHARACTER DEGREES AND NILPOTENCE CLASS OF FINITE p-GROUPS: AN APPROACH VIA PRO-p GROUPS
Let S be a finite set of powers of p containing 1. It is known that for some choices of S, if P is a finite p-group whose set of character degrees is S, then the nilpotence class of P is bounded by some integer that depends on S, while for some other choices of S such an integer does not exist. The sets of the first type are called class bounding sets. The problem of determining the class bound...
متن کاملfinite p-groups with few non-linear irreducible character kernels
abstract. in this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1977
ISSN: 0021-8693
DOI: 10.1016/0021-8693(77)90362-3