On groups with the same set of order elements
نویسندگان
چکیده
منابع مشابه
A Characterization of the Small Suzuki Groups by the Number of the Same Element Order
Suppose that is a finite group. Then the set of all prime divisors of is denoted by and the set of element orders of is denoted by . Suppose that . Then the number of elements of order in is denoted by and the sizes of the set of elements with the same order is denoted by ; that is, . In this paper, we prove that if is a group such that , where , then . Here denotes the family of Suzuk...
متن کاملHv-groups defined on the same set
If a hyperoperation is weak associative then every greater hyperoperation, defined on the same set, is also weak associative. Using this property, the set of all Hv-groups with a scalar unit, defined on a set with three elements is determined.
متن کاملA Characterization of the Suzuki Groups by Order and the Largest Elements Order
One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let be a finite group. We denote by the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if is a group with an...
متن کاملSimple groups with the same prime graph as $D_n(q)$
Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph a...
متن کاملazerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran
در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Mathematical Forum
سال: 2006
ISSN: 1314-7536
DOI: 10.12988/imf.2006.06109