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on the kernels of frobenius groups
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نویسنده
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darafsheh mohammad r. ,saydi hadiseh
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منبع
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journal of mahani mathematical research - 2024 - دوره : 13 - شماره : 2 - صفحه:563 -569
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چکیده
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A frobenius group is a transitive permutation group on a finite set, such that no non-trivial element fixes more than one point and some non-trivial element fixes a point. using character theory, it is proved that the frobenius kernel is a normal subgroup of its frobenius group. in this paper, we present some group-theoretical proofs that the frobenius kernel is a subgroup of its frobenius group under certain conditions.
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کلیدواژه
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frobenius group ,frobenius complement ,frobenius kernel
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آدرس
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university of tehran, school of mathematics, statistics, and computer science, college of science, iran, north-west university, mahikeng campus, school of mathematical and statistical sciences, south africa
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پست الکترونیکی
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54116236@mynwu.ac.za; hadisehsaydi90@gmail.com
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Authors
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