نتایج جستجو برای: frattini subgroup
تعداد نتایج: 86065 فیلتر نتایج به سال:
Direct products of finite groups are a simple method to construct new groups from old ones. A difficult problem by comparison is to prove a generic group G is indecomposable, or locate a proper nontrivial direct factor. To solve this problem it is shown that in most circumstances G has a proper nontrivial subgroup M such that every maximal direct product decomposition Q of G/M induces a unique ...
*Renier J. Brentjens,1-3 *Isabelle Rivière,1-4 Jae H. Park,1,2 Marco L. Davila,1,2 Xiuyan Wang,2-4 Jolanta Stefanski,2-4 Clare Taylor,2-4 Raymond Yeh,1,2 Shirley Bartido,2,3 Oriana Borquez-Ojeda,2-4 Malgorzata Olszewska,2-4 Yvette Bernal,1 Hollie Pegram,1,2 Mark Przybylowski,2-4 Daniel Hollyman,2-4 Yelena Usachenko,1,2 Domenick Pirraglia,2-4 James Hosey,2-4 Elmer Santos,3,5 Elizabeth Halton,1 P...
The existence and uniqueness (up to equivalence defined below) of code loops was first established by R. Griess in [3]. Nevertheless, the explicit construction of code loops remained open until T.Hsu introduced the notion of symplectic cubic spaces and their Frattini extensions, and pointed out how the construction of code loops followed from the (purely combinatorial) result of O. Chein and E....
Let Γg,b denote the orientation-preserving Mapping Class Group of a closed orientable surface of genus g with b punctures. For a group G let Φf (G) denote the intersection of all maximal subgroups of finite index in G. Motivated by a question of Ivanov as to whether Φf (G) is nilpotent when G is a finitely generated subgroup of Γg,b, in this paper we compute Φf (G) for certain subgroups of Γg,b...
Let X be a smooth projective connected algebraic curve of genus g defined over an algebraically closed field k of characteristic p > 0. In this paper we study necessary and sufficient conditions for a finite group G to be a quotient of the algebraic fundamental group π1(X) of X. We denote by πA(X) the set of isomorphism classes of finite groups which are quotients of π1(X). Recall that a group ...
Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...
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