On some invariants of finite groups
عنوان مقاله: On some invariants of finite groups
شناسه ملی مقاله: JR_THEGR-2-1_009
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_THEGR-2-1_009
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Jan Krempa - Institute of Mathematics, University of Warsaw
Agnieszka Stocka - Institute of Mathematics University of Białystok
خلاصه مقاله:
Jan Krempa - Institute of Mathematics, University of Warsaw
Agnieszka Stocka - Institute of Mathematics University of Białystok
A normal subgroup N of a group G is said to be an omissible subgroup of G if it has the following property: whenever X\leq G is such that G=XN, then G=X. In this note we construct various groups G, each of which has an omissible subgroup N\neq ۱ such that G/N\cong SL_۲(k) where k is a field of positive characteristic.
کلمات کلیدی: generating set, independent set, (p, q)-group, lattice of subgroups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199959/