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A new characterization of alternating groups
Репозиторій DSpace/Manakin
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A new characterization of alternating groups
Інший ID:
2010 MSC:20D06, 20D60.
Посилання:
A new characterization of alternating groups / A.K. Asboei, S.S. Amiri, A. Iranmanesh // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 8–13. — Бібліогр.: 11 назв. — англ.
Підтримка:
The authors are thankful to the referee for carefully reading the paper and for his suggestions and remarks. Partial support by the Center of Excellence of Algebraic Hyper structures and its Applications of Tarbiat Modares University (CEAHA) is gratefully acknowledge by the third author (AI).
Дата:
2014
Переглядів:
541
Завантажень:
151
Анотація:
Let G be a finite group and let πe(G) be the set of element orders of G. Let k ∈ πe(G) and let mk be the number of elements of order k in G. Set nse(G):={mk|k ∈ πe(G)}. In this paper, we show that if n= r, r + 1, r + 2, r + 3 r + 4, or r + 5 where r ≥ 5 is the greatest prime not exceeding n, then An characterizable by nse and order.
