Let Gbe a finite group. A subgroup H of G is said to be S-permutable in G if HP = PH for all Sylow subgroups P of G. A subgroup A of a group G is said to be S-permutably embedded in G if for each Sylow subgroup of A is also a Sylow of some S-permutable subgroup of G. In this paper, we analyze the following generalization of this concept. Let H be a subgroup of a group G. Then we say that H is nearly S-permutably embedded in G if G has a subgroup T and an S-permutably embedded subgroup C a parts per thousand currency sign H such that HT = G and T a (c) H a parts per thousand currency sign C. We study the structure of G under the assumption that some subgroups of G are nearly S-permutably embedded in G. Some known results are generalized.
机构:
Peking Univ, LMAM, Beijing 100871, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Shen, Zhencai
Zhang, Jinshan
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机构:
Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Zhang, Jinshan
Wu, Shulin
论文数: 0引用数: 0
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机构:
Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Wu, Shulin
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA,
2012,
11
: 111
-
124
机构:
Peking Univ, LMAM, Beijing 100871, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Shen, Zhencai
Zhang, Jinshan
论文数: 0引用数: 0
h-index: 0
机构:
Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Zhang, Jinshan
Wu, Shulin
论文数: 0引用数: 0
h-index: 0
机构:
Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Wu, Shulin
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA,
2012,
11
: 111
-
124