Finite groups with a prescribed number of cyclic subgroups
نویسندگان
چکیده
منابع مشابه
Finite Groups With a Certain Number of Cyclic Subgroups
In this short note we describe the finite groups G having |G| − 1 cyclic subgroups. This leads to a nice characterization of the symmetric group S3. In subgroup lattice theory, it is a usual technique to associate to a finite group G some posets of subgroups of G (see, e.g., [4]). One such poset is the poset of cyclic subgroups of G, usually denoted by C(G). Notice that there are few papers on ...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2018
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2018.1499923