Zobrazeno 1 - 10 of 40 pro vyhledávání: '"Fletcher Gross"'
2
On the uniqueness of wreath products
Autor: Fletcher Gross
Publikováno v: Journal of Algebra. 147(1):147-175
Suppose R is a group and P is a permutation group acting on the set I. Let M be the restricted direct product of 111 copies of R. Then the restricted wreath product G = R wr( P, I) is the semidirect product of M and P where P acts on M by permuting t
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4
On the fitting length of NC-groups
Autor: Umberto Tiberio, Anna Luisa Gilotti, Fletcher Gross
Publikováno v: Geometriae Dedicata. 40
In this paper NC-groups (i.e. finite groups G, in which for every Sylow p-subgroup P of G, NG(Z(P))=CG(Z(P)) are studied. Mainly the Authors give a way to construct solvable NC-groups with arbitrarely large fitting length and trivial center. Further
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5847d3931d00648caf4d507849c43898
https://doi.org/10.1007/bf00181657
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5
Automorphisms which centralize a Sylow p-subgroup
Autor: Fletcher Gross
Publikováno v: Journal of Algebra. 77(1):202-233
I do not know whether part (i) of the theorem is true for p = 2, but it should be noted that Glauberman 161 showed when p = 2 that C = C, C, with C, a normal subgroup of odd order in C and C, an abelian 2-group. The difference between these results i
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8
On normal subgroups which are direct products
Autor: L. G. Kovács, Fletcher Gross
Publikováno v: Journal of Algebra. 90:133-168
Now that the classification of finite simple groups is complete, it is logical to look at the extension problem. An important special case to consider is when M is a minimal normal subgroup of G and both G/M and M are known groups. If M is abelian, v
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https://doi.org/10.1016/0021-8693(84)90203-5
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