It follows from [2] that two nondiagonal forms likeS(n,?d)?+? <![CDATA[Automorphism Groups of Diagonal <Emphasis Type='Bold'>Z</Emphasis> <Subscript> <Emphasis Type='Italic'>p</Emphasis> </Subscript>-Forms of the Lie Algebra <Emphasis Type='Italic'>sl</Emphasis> <Subscript>2</Subscript>( <Emphasis Type='Bold'>Q</Emphasis> <Subscript> <Emphasis Type='Italic'>p</Emphasis> </Subscript>), <Emphasis Type='Italic'>p </Emphasis> 2]]>
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Z p -Forms of the Lie Algebra sl 2( Q p ), p 2]]>

机译:<![CDATA [对角线的自动形态组 Z <下标> P LIE代数<重点 type =“斜体”> sl 2 (<重点类型=“粗体”> q p < /下标>),<重点类型=“斜体”> p& 2]]>

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摘要

It follows from [2] that two nondiagonal forms likeS(n,?d)?+?ZpAandS(n,?d)?+?ZpAare isomorphic if the elements ofAandA′ are conjugated via the groupAutZpSnd$$ {mathrm{Aut}}_{{oldsymbol{Z}}_p}Sleft(n,dight) $$. In the present paper, we settle just this question on conjugation. In other words, we describe the groupAutZpSnd$$ {mathrm{Aut}}_{{oldsymbol{Z}}_p}Sleft(n,dight) $$and clarify under which conditions two elements ofS(n,d) are conjugate under the action of this group onS(n,d),p]]>
机译:,?<重点类型=“斜体”> d )?<重点类型=“斜体”> z p < / subscript> <重点类型=“斜体”> s (<重点类型=“斜体”> n ,?<重点类型= “斜体”> D )?<重点类型=“斜体”> z <下标> <重点类型=“斜体”> p <重点类型= “斜体”> '是同构,如果<重点类型=“斜体”> a a '通过组缀合 aut z p < / msub> s n d < / math> $$ { mathrm {aut}} _ {{ boldsymbol {z}} _ p} s left(n,d over)$$ 。在本文中,我们就解决了这个问题。换句话说,我们描述了组 aut z p s n d $$ { mathrm {aut}} _ {{ boldsymbol {z}} _ p} s left(n,d light)$$ 并澄清在其中<重点类型=“斜体的两个元素“> S (<重点类型=”斜体“> n ,<重点类型=”斜体“> d )是在<重点类型=”上的该组的动作下的共轭。斜体“> s (<重点类型=”斜体“> n ,<重点类型=”斜体“> d ),<重点类型=”斜体“> p ]]>

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