On Non-commuting Sets in a Finite p-group with Derived Subgroup of Prime Order

被引：0
|
作者：
Wang Yu-lei [1 ]
Liu He-guo [2 ]
机构：
[1] Department of Mathematics, Henan University of Technology
[2] Department of Mathematics, Hubei University
来源：
CommunicationsinMathematicalResearch | 2016年 / 32卷 / 03期
关键词：
finite p-group; non-commuting set; cardinality;
D O I：
10.13447/j.1674-5647.2016.03.01
中图分类号：
O152.1 [有限群论];
学科分类号：
070104 ;
摘要：
Let G be a finite group. A nonempty subset X of G is said to be noncommuting if xy≠yx for any x, y ∈ X with x≠y. If |X| ≥ |Y| for any other non-commuting set Y in G, then X is said to be a maximal non-commuting set. In this paper, we determine upper and lower bounds on the cardinality of a maximal non-commuting set in a finite p-group with derived subgroup of prime order.
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页码：193 / 197
页数：5
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