Omissible extensions of SL_۲(k) where k is a field of positive characteristic
عنوان مقاله: Omissible extensions of SL_۲(k) where k is a field of positive characteristic
شناسه ملی مقاله: JR_THEGR-2-1_012
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_THEGR-2-1_012
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
Martyn Dixon - The University of Alabama
Martin Evans - The University of Alabama
Howard Smith - Bucknell University
خلاصه مقاله:
Martyn Dixon - The University of Alabama
Martin Evans - The University of Alabama
Howard Smith - Bucknell University
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: Omissible subgroup, special linear group, Frattini extension, locally (soluble-by-finite) group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199962/