کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4586696 1334110 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing p-groups with trivial Schur multiplicator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Computing p-groups with trivial Schur multiplicator
چکیده انگلیسی

Recently the author has shown that there are only finitely many p-groups with trivial Schur multiplicator of a given coclass if p is an odd prime. This paper introduces an algorithm to compute these finitely many p-groups for any given prime and coclass. As an application, we classify these groups for coclass 1, give a conjectural description for them for coclass 2 and determine them for coclass 3 and p∈{3,5,7} and coclass 4 and p=3. Based on the experimental evidence, we conjecture that the order of a p-group with trivial Schur multiplicator and coclass r is bounded by a function b(r) which is independent of the prime p.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 3, 1 August 2009, Pages 741-751