Families of Groups Generated by Two Operators of the Same Order
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...
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Groups Generated by Two Operators of the Same Prime Order Such That the Conjugates of One under the Powers of the Other Are Commutative. by Peopessok
IN a previous article,* devoted to a study of conjugate operators, attention was called to the fact that a complete set of conjugate operators which are not all relatively commutative is transformed under the group according to a substitution group which is at most triply transitive. It is easy to prove that this substitution group is at most doubly transitive, and, as the p conjugates of order...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1933
ISSN: 0002-9947
DOI: 10.2307/1989771