One-prime power hypothesis for conjugacy class sizes
عنوان مقاله: One-prime power hypothesis for conjugacy class sizes
شناسه ملی مقاله: JR_THEGR-6-3_003
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_THEGR-6-3_003
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
Alan Camina - University of East Anglia
Rachel Camina - Fitzwilliam College, University of Cambridge
خلاصه مقاله:
Alan Camina - University of East Anglia
Rachel Camina - Fitzwilliam College, University of Cambridge
A finite group G satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes m and n are either equal or have a common divisor a prime power. Taeri conjectured that an insoluble group satisfying this condition is isomorphic to S times A where A is abelian and S cong PSL_۲(q) for q in {۴,۸}. We confirm this conjecture.
کلمات کلیدی: conjugacy class sizes, Finite groups, insoluble groups, bipartite graph
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199669/