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Finding proper factorizations in finite groups
Репозиторій DSpace/Manakin
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Finding proper factorizations in finite groups
Інший ID:
2000 Mathematics Subject Classification:20D40; 20E07.
Посилання:
Finding proper factorizations in finite groups / J. Kirtland // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 45–59. — Бібліогр.: 14 назв. — англ.
Дата:
2009
Переглядів:
462
Завантажень:
160
Анотація:
One focus in group theory has been to establish the properties of a finite group that can be written as the product of two proper subgroups whose properties are known. The investigation here will proceed in the other direction by establishing conditions for when a finite group can be written as a product of two proper subgroups and for when a specific proper subgroup is part of a product of proper subgroups that equals the group. A byproduct of this investigation is a classification of those finite groups which cannot be written as the product of any two proper subgroups.
