We prove that for an arbitrary odd n >= 1003 and m > 1 every automorphism of the free Burnside groupB(m, n) that stabilizes every maximal normal subgroup N (sic) B(m, n) of infinite index is an inner automorphism. For the same values of m and n, we establish that the subgroup of inner automorphisms of Aut(B(m, n)) is maximal among the subgroups in which the orders of the elements are bounded by n.
机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Li, Zhengxing
Gao, Hongwei
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机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Li, Zhengxing
Gao, Hongwei
论文数: 0引用数: 0
h-index: 0
机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China