شماره ركورد كنفرانس :
5440
عنوان مقاله :
Groups which do not have four irreducible characters of degrees divisible by a prime $p$
پديدآورندگان :
ALIZADEH FEREYDOON Department of Mathematics, Urmia University, Urmia 57135, Iran, , BEHRAVESH HOUSHANG Department of Mathematics, Urmia University, Urmia 57135, Iran , GHAFFARZADEH MEHDI Department of Mathematics, Khoy Branch, Islamic Azad University, Khoy, Iran , GHASEMI MOHSEN Department of Mathematics, Urmia University, Urmia 57135, Iran,
تعداد صفحه :
4
كليدواژه :
Finite group , Prime divisors , Character graph
سال انتشار :
1400
عنوان كنفرانس :
بيست و هفتمين سمينار جبر ايران
زبان مدرك :
انگليسي
چكيده فارسي :
Given a finite group $G$, we say that $G$ has property $cP_n$ if for every prime integer $p$, $G$ has at most $n-1$ irreducible characters whose degrees are multiples of $p$. ##In this paper, we classify all finite groups that have property $cP_4$. ##We show that the groups satisfying property $cP_4$ are exactly the finite groups with at most three nonlinear irreducible characters, one solvable group of order $168$, $SL_2(3)$, $Alt_5$, $Sym_5$, $PSL_2(7)$ and $Alt_6$.
كشور :
ايران
لينک به اين مدرک :
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