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   characterizing some groups with nilpotent derived subgroup  
نویسنده kaheni azam ,johari farangis
منبع journal of algebraic structures and their applications - 2019 - دوره : 6 - شماره : 1 - صفحه:55 -63
چکیده    in this paper, groups with trivial intersection between frattini and derived sub- groups are considered. first, some structural properties of these groups are given in an important special case. then, some family invariants of each n-isoclinism family of such groups are stated. in particular, an explicit bound for the order of each center factor group in terms of the order of its derived subgroup is also provided.
کلیدواژه frattini subgroup ,soluble group ,sylow subgroup
آدرس university of birjand, department of mathematics, iran, ferdowsi university of mashhad, department of pure mathematics, iran
پست الکترونیکی farangis.johari@mail.um.ac.ir, farangisjohary@yahoo.com

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