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A theorem of Fong's type for graded algebras

引用本文：	FAN Yun & ZHU Ping School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China School of Mathematical Science,Nankai University,Tianjin 300071,China. A theorem of Fong's type for graded algebras[J]. 中国科学A辑(英文版), 2005, 48(5): 577-582. DOI: 10.1360/03ys0259

作者姓名：	FAN Yun & ZHU Ping School of Mathematics and Statistics Central China Normal University Wuhan 430079 China School of Mathematical Science Nankai University Tianjin 300071 China

作者单位：	FAN Yun & ZHU Ping School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China School of Mathematical Science,Nankai University,Tianjin 300071,China

摘要：	Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p'-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p'-subgroup is obtained.
A theorem of Fong’s type for graded algebras

Yun?FanEmail author,Ping?Zhu Email author. A theorem of Fong’s type for graded algebras[J]. Science in China(Mathematics), 2005, 48(5): 577-582. DOI: 10.1360/03ys0259

Authors:	Yun?Fan author-information" > author-information__contact u-icon-before" > mailto:yunfan@whu.edu.cn" title=" yunfan@whu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Ping?Zhu author-information" > author-information__contact u-icon-before" > mailto:pzhu@tom.com" title=" pzhu@tom.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	1. School of Mathematics and Statistics,Central China Normal University,Wuhan,430079,China 2. School of Mathematical Science,Nankai University,Tianjin,300071,China

Abstract:	Let G be a finite p-solvable group and k be an algebraic closed field of characteristic p. It is proved that any projective indecomposable module of a G-graded k-algebra is an induced module of a module of the subalgebra graded by a Hall p'-subgroup. A necessary and sufficient condition for the indecomposability of an induced module from a Hall p'-subgroup is obtained.

Keywords:	group graded algebra indecomposable induced module primitive idempotent.
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