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On class groups of lattices

✍ Scribed by J. Brzezinski


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
953 KB
Volume
45
Category
Article
ISSN
0022-4049

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We show that in the case of 2-dimensional lattices, Quebbemann's notion of modular and strongly modular lattices has a natural extension to the class group of a given discriminant, in terms of a certain set of translations. In particular, a 2-dimensional lattice has ``extra'' modularities essentiall

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## Finite groups, maximal class MSC (2010) 20D15 Let R be the ring Z[x]/ x p -1 x -1 = Z[x] and let a be the ideal of R generated by (x -1). In this paper, we discuss the structure of the Z[Cp ]-module (R/a n -1 )∧(R/a n -1 ), which plays an important role in the theory of p-groups of maximal cla

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Throughout the paper we consider only finite groups. In [l] W. GASCHUTZ introduced the notion of formation which is useful and convenient for stu.dying not only groups but also other algebraic systems (see [2]). Recall that a class 3 of groups is called a formation if it is closed under taking homo