The recognition of finite simple groups with no elements of order ۱۰ by their element orders
عنوان مقاله: The recognition of finite simple groups with no elements of order ۱۰ by their element orders
شناسه ملی مقاله: JR_THEGR-11-1_003
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_THEGR-11-1_003
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Huaiyu He - Department of Economics and Management, Shanghai University of Political Science and Law, Shanghai ۲۰۱۷۰۱, China
Wujie Shi - Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing ۴۰۲۱۶۰, China۳School of Mathe- matics, Suzhou University, Suzhou ۲۱۵۰۰۶, China
خلاصه مقاله:
Huaiyu He - Department of Economics and Management, Shanghai University of Political Science and Law, Shanghai ۲۰۱۷۰۱, China
Wujie Shi - Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing ۴۰۲۱۶۰, China۳School of Mathe- matics, Suzhou University, Suzhou ۲۱۵۰۰۶, China
The spectrum of a finite group is the set of its element orders. H is said to be a finite cover of G if G is a homomorphic image of H and H is finite. The main aim of this article is to characterize the finite simple groups with no elements of order ۱۰ by its spectrum among covers. At the same time, above simple groups are completely classified. At last, some results on the recognition by spectrum of above groups are also achieved.
کلمات کلیدی: recognition, spectrum, simple group, cover
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1309872/