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characterization of some alternating groups by order and largest element order
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نویسنده
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mahmoudifar ali ,gharibkhajeh ayoub
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منبع
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aut journal of mathematics and computing - 2022 - دوره : 3 - شماره : 1 - صفحه:35 -44
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چکیده
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The prime graph (or gruenberg-kegel graph) of a finite group is a well-known graph. in this paper, first, we investigate the structure of the finite groups with a non-complete prime graph. then as an application, we prove that every alternating group an, where n ≤ 31 is determined by its order and its largest element order. also, we show that a32 is not characterizable by order and the largest element order.
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کلیدواژه
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finite simple group ,prime graph ,the largest element order ,alternating group
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آدرس
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islamic azad university, north tehran branch, department of mathematics, iran, islamic azad university, north tehran branch, department of mathematics, iran
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پست الکترونیکی
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a.gharibkhajeh@gmail.com
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Authors
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