ON NONINNER AUTOMORPHISMS OF FINITE p-GROUPS THAT FIX THE CENTER ELEMENTWISE
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نویسنده
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ghoraishi s. mohsen
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منبع
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international journal of group theory - 2019 - دوره : 8 - شماره : 1 - صفحه:1 -9
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چکیده
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In this paper we show that every finite nonabelian p-group g in which the frattini subgroup φ(g)has order ≤ p^5 admits a noninner automorphism of order p leaving the center z(g) elementwise xed. as a consequence it follows that the order of a possible counterexample to the conjecture of berkovich is at least p^8.
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کلیدواژه
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p-Groups ,automorphisms ,noninner automorphisms.
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آدرس
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shahid chamran university of ahvaz, department of mathematics, Iran
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پست الکترونیکی
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m.ghoraishi@scu.ac.ir
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