کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587886 1334163 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
(1,2)-Groups with p3-regulator quotient
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
(1,2)-Groups with p3-regulator quotient
چکیده انگلیسی

For a prime p and a poset (1,2)=(τ1,τ2<τ3) of types, p-reduced almost completely decomposable groups with critical typeset (1,2) and a p-power as regulating index are called (1,2)-groups. The number of near-isomorphism types of indecomposable (1,2)-groups depends on the exponent pk of the regulator quotient. It is shown that indecomposable (1,2)-groups with a regulator quotient of exponent ⩽p3 have rank ⩽4, and if the types τi and the prime p are fixed, then there are precisely four near-isomorphism types of indecomposable groups. It is unknown for which exponent pk0 of the regulator quotient exist infinitely many near-isomorphism types of indecomposable (1,2)-groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 320, Issue 10, 15 November 2008, Pages 3821-3831