Groups of Order p m , Which Contain Cyclic Subgroups of Order p m-3
نویسندگان
چکیده
منابع مشابه
THE GROUPS OF ORDER pm WHICH CONTAIN EXACTLY p CYCLIC SUBGROUPS OF ORDER
If a group ( G ) of order pm contains only one subgroup of order pa, a > 0, it is known to be cyclic unless both p = 2 and at = l.f In this special case there are two possible groups whenever m > 2. The number of cyclic subgroups of order pa in G is divisible by p whenever G is non-cyclic and p > 2. J In the present paper we shall consider the possible types of G when it is assumed that there a...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1905
ISSN: 0002-9947
DOI: 10.2307/1986222