Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type

碩士 === 國立高雄師範大學 === 數學系 === 93 === A finite group is said to be power-commutative ($PC$) if the commutativity of nontrivial powers of two elements implies the commutativity of the two elements. We study irreducible characters of finite solvable $PC$-groups of first type and related problems to t...

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Main Authors: Lin, Cheng-Chieh, 林正傑
Other Authors: 吳郁芬
Format: Others
Language:en_US
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/67973923203328288235
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spelling ndltd-TW-093NKNU04790172015-10-13T13:01:31Z http://ndltd.ncl.edu.tw/handle/67973923203328288235 Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type 論第一類有限可解PC群的不可分解特徵和Taketa不等式 Lin, Cheng-Chieh 林正傑 碩士 國立高雄師範大學 數學系 93 A finite group is said to be power-commutative ($PC$) if the commutativity of nontrivial powers of two elements implies the commutativity of the two elements. We study irreducible characters of finite solvable $PC$-groups of first type and related problems to the Taketa's inequality in this article. 吳郁芬 2005 學位論文 ; thesis 24 en_US
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language en_US
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description 碩士 === 國立高雄師範大學 === 數學系 === 93 === A finite group is said to be power-commutative ($PC$) if the commutativity of nontrivial powers of two elements implies the commutativity of the two elements. We study irreducible characters of finite solvable $PC$-groups of first type and related problems to the Taketa's inequality in this article.
author2 吳郁芬
author_facet 吳郁芬
Lin, Cheng-Chieh
林正傑
author Lin, Cheng-Chieh
林正傑
spellingShingle Lin, Cheng-Chieh
林正傑
Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
author_sort Lin, Cheng-Chieh
title Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
title_short Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
title_full Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
title_fullStr Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
title_full_unstemmed Irreducible Characters and Taketa's Inequality for Finite Solvable PC-Groups of First Type
title_sort irreducible characters and taketa's inequality for finite solvable pc-groups of first type
publishDate 2005
url http://ndltd.ncl.edu.tw/handle/67973923203328288235
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