گروه‌هایی که مجموعه‌ی اعضای صفرشوی آنها اجتماع دقیقا سه کلاس تزویج است

نویسنده
دانشگاه بین المللی امام خمینی
چکیده
فرض کنیم یک گروه متناهی و مجموعه تمام سرشت‌های تحویل‌ناپذیر باشند. گوییم عضو در یک عضو صفرشو در است اگر سرشت موجود باشد بطوریکه . در این مقاله، یک اثبات نسبتا کوتاه برای رده‌بندی گروه‌های متناهی‌ای ارائه می‌دهیم که مجموعه اعضای صفرشوی آنها دقیقا اجتماع سه کلاس تزویج است.




کلیدواژه‌ها

عنوان مقاله English

Groups whose set of vanishing elements is the :union: of exactly three conjugacy classes

نویسنده English

Sajjad Mahmood Robati
چکیده English

Let G be a finite group and let Irr(G) be the set of irreducible characters of G . We say that an element g in G is a vanishing element if there exists some χ∈ Irr(G) such that χ(g)=0 . In this paper, we provide a relatively short proof for the classification of finite groups whose set of vanishing elements is the :union: of exactly three conjugacy classes.




کلیدواژه‌ها English

conjugacy classes
irreducible characters
solvable groups
Frobenius groups
vanishing elements
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