Normal automorphisms of free Burnside groups

被引:13
|
作者
Atabekyan, V. S. [1 ]
机构
[1] Yerevan State Univ, Yerevan, Armenia
基金
俄罗斯基础研究基金会;
关键词
free Burnside group; normal automorphism; inner automorphism; maximal subgroup; non-Abelian simple group;
D O I
10.1070/IM2011v075n02ABEH002532
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页码:223 / 237
页数:15
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