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one-prime power hypothesis for conjugacy class sizes
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نویسنده
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camina alan r. ,camina rachel d.
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منبع
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international journal of group theory - 2017 - دوره : 6 - شماره : 3 - صفحه:13 -19
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چکیده
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A finite group g satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes m and n are either equal or have a common divisor a prime power. taeri conjectured that an insoluble group satisfying this condition is isomorphic to stimesa where a is abelian and scongpsl2(q) for qin4,8. we confirm this conjecture.
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کلیدواژه
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conjugacy classes ,finite groups ,insoluble groups ,bipartite graph.
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آدرس
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university of east anglia, school of mathematics, uk, university of cambridge, fitzwilliam college, uk
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پست الکترونیکی
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rdc26@dpmms.cam.ac.uk
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Authors
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