On maximal subsets in p-groups whose distict elements do not commute
عنوان مقاله: On maximal subsets in p-groups whose distict elements do not commute
شناسه ملی مقاله: SCCFSTS02_039
منتشر شده در دومین کنفرانس بین المللی دانشجویان علوم پایه ایران در سال 1402
شناسه ملی مقاله: SCCFSTS02_039
منتشر شده در دومین کنفرانس بین المللی دانشجویان علوم پایه ایران در سال 1402
مشخصات نویسندگان مقاله:
Maryam Ghorbani - Department of Mathematics, Faculty of Science, University of Science and Technology of Mazandaran, Behshahr, Iran
خلاصه مقاله:
Maryam Ghorbani - Department of Mathematics, Faculty of Science, University of Science and Technology of Mazandaran, Behshahr, Iran
Let G be a finite group. A subset X of G is called a set of pairwise non-commuting elements if xy ≠ yx for all distinct x,y ϵ X. if lxl ≥ lyl for any other subset Y of pairwise non-commuting elements, then X is called a maximal subset of pairwise non-commuting elements and the size of such set is denoted by ω(G). In a recent article by Azad [۵] the value of ω(G) for a certain p−group G is computed and in the present paper our aim is to generalize their result. We also extend our result to find ω(G) for some p−groups of interest.
کلمات کلیدی: Pairwise non-commuting elements, AC-group, finite p-group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1943270/