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classification of gyrogroups of orders at most 31
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نویسنده
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ashrafi ali reza ,mavaddat nezhaad kurosh ,salahshour mohammad ali
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منبع
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aut journal of mathematics and computing - 2024 - دوره : 5 - شماره : 1 - صفحه:11 -18
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چکیده
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A gyrogroup is defined as having a binary operation containing an identity element such that each element has an inverse. furthermore, for each pair (a,b) of elements of this structure, there exists an automorphism gyr[a,b] with the property that left associativity and the left loop property are satisfied. since each gyrogroup is a left bol loop, some results of burn imply that all gyrogroups of orders p,2p, and p2, where p is a prime number, are groups. this paper aims to classify gyrogroups of orders 8, 12, 15, 18, 20, 21, and 28.
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کلیدواژه
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gyrogroup ,left bol loop ,gyroautomorphism
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آدرس
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university of kashan, faculty of mathematical sciences, department of pure mathematics, iran, university of kashan, faculty of mathematical sciences, department of pure mathematics, iran, islamic azad university, savadkooh branch, department of mathematics, iran
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پست الکترونیکی
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salahshour@iausk.ac.ir
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Authors
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