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on the power graphs of elementary abelian and extra special p-groups
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نویسنده
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pourhasan masoud ,doostie hossein
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منبع
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international journal of group theory - 2021 - دوره : 10 - شماره : 2 - صفحه:89 -95
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چکیده
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For a given odd prime p, we investigate the power graphs of three classes of finite groups: the elementary abelian groups of exponent p, and the extra special groups of exponents p or p^2 . we show that these power graphs are eulerian for every p. as a corollary, we describe two classes of non-isomorphic groups with isomorphic power graphs. in addition, we prove that the clique graphs of the power graphs of two considered classes are complete.
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کلیدواژه
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power graphs ,non-group semigroups ,semidirect product
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آدرس
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islamic azad university, tehran science and research branch, department of mathematics, iran, islamic azad university, tehran science and research branch, department of mathematics, iran
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پست الکترونیکی
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doostih@gmail.com
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Authors
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