On low-degree representations of the symmetric group

A characterization of the symmetric group of prime degree

Let $G$ be a finite group and $Gamma(G)$ the prime graph of $G$‎. ‎Recently people have been using prime graphs to study simple groups‎. ‎Naturally we pose a question‎: ‎can we use prime graphs to study almost‎ ‎simple groups or non-simple groups? In this paper some results in‎ ‎this respect are obtained and as follows‎: ‎$Gcong S_p$ if and only‎ ‎if $|G|=|S_p|$ and $Gamma(G)=Gamma(S_p)$‎, ‎whe...

a characterization of the symmetric group of prime degree

let $g$ be a finite group and $gamma(g)$ the prime graph of $g$‎. ‎recently people have been using prime graphs to study simple groups‎. ‎naturally we pose a question‎: ‎can we use prime graphs to study almost‎ ‎simple groups or non-simple groups? in this paper some results in‎ ‎this respect are obtained and as follows‎: ‎$gcong s_p$ if and only‎ ‎if $|g|=|s_p|$ and $gamma(g)=gamma(s_p)$‎, ‎whe...

a study on the effectiveness of task types (noticing-reformulation) on iranian low intermediate efl learners’ retention of collocations

چکیده پژوهش شبه تجربی حاضر به بررسی بکارگیری تمارین کلاسی که برانگیزنده آگاهی و توجه آگاهانه به همایندها بعنوان بخشی از یک دوره ی مکالمه زبان خارجی در یکی از آموزشگاه های زبان انگلیسی ایران است می پردازد.

The Representations of the Symmetric Group

In this paper we classify the irreducible representations of the symmetric group Sn and give a proof of the hook formula for the dimension of each irreducible. 1. The Irreducible Representations of Sn We construct the irreducible representations of the symmetric group. The number of irreducible representations of Sn is the number of conjugacy classes of Sn, which is the number of partitions of ...

On the Modular Representations of the Symmetric Group (II).