A complete set of invariants for finite groups and other results

✍ Scribed by Moshe Roitman

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 448 KB
• Volume: 41
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1016/0001-8708(81)90023-2

✦ Synopsis

For a finite group G and a set Z c ( 1,2,..., n) let e,h 1) = C h(g) 0 et(g) 63 a.. 0 e,(g), SEG where G?) = g if i E I, a?) = 1 if i&Z.
We prove, among other results, that the positive integers tr(e,(n, I, ) + ... + e,(n, I,))': n, r, k) 1, Zjz { l,..., n), 1 < II,1 < 3 for 1 1 and a set Z s { 1,2 ,..., n), we define an element e&Z) of the group ring as follows:
E\*(g) = g
if i E Z, = 1 if i&Z.