On the influence of conjugacy class in finite groups
碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 107 === In this thesis, we show some results about index of an element. We first show results about elements of prime-power indices, which include simplicity, the existence of normal p-complements, and sufficient conditions for an element to have prime-power index....
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2019
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| Online Access: | http://ndltd.ncl.edu.tw/handle/j6xqb6 |
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ndltd-TW-107NCKU55070092019-10-26T06:24:12Z http://ndltd.ncl.edu.tw/handle/j6xqb6 On the influence of conjugacy class in finite groups 共軛類對有限群的影響 Ching-YiJen 任靜宜 碩士 國立成功大學 數學系應用數學碩博士班 107 In this thesis, we show some results about index of an element. We first show results about elements of prime-power indices, which include simplicity, the existence of normal p-complements, and sufficient conditions for an element to have prime-power index. Next, we give some examples of groups such that elements of prime-power order have prime-power indices, and q-Baer groups. The last part, we show some results that the indices of elements in a group can imply the solubility of it. Shih-Chang Huang 黃世昌 2019 學位論文 ; thesis 32 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
| description |
碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 107 === In this thesis, we show some results about index of an element. We first show results about elements of prime-power indices, which include simplicity, the existence of normal p-complements, and sufficient conditions for an element to have prime-power index. Next, we give some examples of groups such that elements of prime-power order have prime-power indices, and q-Baer groups. The last part, we show some results that the indices of elements in a group can imply the solubility of it.
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| author2 |
Shih-Chang Huang |
| author_facet |
Shih-Chang Huang Ching-YiJen 任靜宜 |
| author |
Ching-YiJen 任靜宜 |
| spellingShingle |
Ching-YiJen 任靜宜 On the influence of conjugacy class in finite groups |
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Ching-YiJen |
| title |
On the influence of conjugacy class in finite groups |
| title_short |
On the influence of conjugacy class in finite groups |
| title_full |
On the influence of conjugacy class in finite groups |
| title_fullStr |
On the influence of conjugacy class in finite groups |
| title_full_unstemmed |
On the influence of conjugacy class in finite groups |
| title_sort |
on the influence of conjugacy class in finite groups |
| publishDate |
2019 |
| url |
http://ndltd.ncl.edu.tw/handle/j6xqb6 |
| work_keys_str_mv |
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1719278594143813632 |