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首页> 外文期刊>The Rocky Mountain journal of mathematics >A CLASS OF GROUPS DETERMINED BY THEIR 3-S-RINGS
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A CLASS OF GROUPS DETERMINED BY THEIR 3-S-RINGS

机译:由其3-S环确定的一类组

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摘要

We study the class of groups G satisfying the condition that, for every ordered pair x,y is an element of G, one of the following is true: (1) xy = yx; (2) x and y are conjugate; (3) x(y) = x(-1); (4) y(x) = y(-1). We describe all such groups completely and give a further condition that characterizes these groups in terms of their 3-S-rings.
机译:我们研究满足以下条件的组G的类别:对于每个有序对x,y是G的元素,下列条件之一为真:(1)xy = yx; (2)x和y是共轭的; (3)x(y)= x(-1); (4)y(x)= y(-1)。我们将完全描述所有这些基团,并给出进一步的条件,以这些基团的3-S环为特征。

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