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FINITE GROUPS WITH THE SAME CONJUGACY CLASS SIZES AS A FINITE SIMPLE GROUP
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نویسنده
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ahanjideh neda
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منبع
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international journal of group theory - 2019 - دوره : 8 - شماره : 1 - صفحه:23 -33
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چکیده
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For a finite group h, let cs(h) denote the set of non-trivial conjugacy class sizes of h and oc(h) be the set of the order components of h. in this paper, we show that if s is a finite simple group with the disconnected prime graph and g is a finite group such that cs(s)=cs(g), then |s|=|g/z(g)| and oc(s)=oc(g/z(g)). in particular, we show that for some finite simple group s, g≅s×z(g).
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کلیدواژه
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Prime graph ,the set of the order components of a finite group ,the Schur multiplier.
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آدرس
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university of shahrekord, faculty of mathematical sciences, department of pure mathematics, Iran
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پست الکترونیکی
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ahanjideh.neda@sci.sku.ac.ir
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Authors
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