orbits classifying extensions of prime power order groups
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نویسنده
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garayalde oihana ,stanojkovski mima
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منبع
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international journal of group theory - 2024 - دوره : 13 - شماره : 1 - صفحه:63 -95
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چکیده
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The strong isomorphism classes of extensions of finite groups are parametrized by orbits of aprescribed action on the second cohomology group. we study these orbits in the case of extensions of afinite abelian p-group by a cyclic factor of order p. as an application, we compute the number and sizes ofthese orbits when the initial p-group is generated by at most 3 elements.
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کلیدواژه
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cohomology of finite p-groups ,group extensions ,strong isomorphism ,orbit sizes.
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آدرس
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matematika saila, euskal herriko unibertsitatearen zientzia eta teknologia fakultatea, spain, università di trento, dipartimento di matematica, italy
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پست الکترونیکی
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mima.stanojkovski@mis.mpg.de
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