Almost Simple DD-groups

Acta Scientiarum Naturalium Universitatis Pekinensis

Almost Simple DD-groups

LIU Yanjun¹, SONG Xueling², XIONG Huan³

1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022; 2. Beijing International Center for Mathematical Research, Peking University, Beijing 100871; 3. School of Mathematical Sciences, Peking University, Beijing 100871;

Received:2012-09-05 Online:2013-09-20 Published:2013-09-20

几乎单DD-群

刘燕俊¹,宋学玲²,熊欢³

1. 江西师范大学数学与信息科学学院, 南昌 330022; 2. 北京大学数学国际中心, 北京 100871; 3. 北京大学数学科学学院, 北京 100871;

Abstract

Abstract: The main purpose is to investigate almost simple DD-groups. It proves that the almost simple group G is not a DD-group unless G is one of the following groups: 1) M₂₂, J₂, Co₁, Fi'₂₄, McL, Th, B, and the automorphism group of M₁₂ or J₂; 2) A₅, A₆, A₇, A₉, A₁₀, A₁₆, S₅, Aut(A₆), S₈, S₁₀, or A_n(62≤n≤205); 3) L₃(2), Aut(L₃(3)), or L₂(q) for q=4, 5, 7, 9, 11.

Key words: almost simple group, multiplicity, degree, DD-group

摘要： 研究几乎单的DD-群, 证明了几乎单群G不是一个DD-群, 如果G不是下列群中的一个: 1) 散在单群M₂₂, J₂, Co₁, Fi'₂₄, McL, Th, B, 以及M₁₂或者J₂的自同构群; 2) 交错群A₅, A₆, A₇, A₉, A₁₀, A₁₆, S₅, Aut(A₆), S₈, S₁₀, 或者A_n(62≤n≤205); 3) L₃(2), Aut(L₃(3)), 或者L₂(q), 其中q=4, 5, 7, 9, 11。

关键词: 几乎单群, 重数, 度数, DD-群

CLC Number:

O152

LIU Yanjun,SONG Xueling,XIONG Huan. Almost Simple DD-groups[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

刘燕俊,宋学玲,熊欢. 几乎单DD-群[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2013/V49/I5/741

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