Many authors, e.g. M. Atiyah, R. Bott, J. Milnor, G. Bredon, S. Cappell, J. Shaneson, C. Sanchez, T. Petrie, E. Laitinen, K. Pawalowski, R. Solomon and so on, studied Smith equivalent representations for finite groups. Observing their results, E. Laitinen conjectured that nonisomorphic Smith equivalent real G-modules exist if aG, the number of real conjugacy classes of elements not of prime power order in G, is greater than or equal to 2. This paper shows that in the case G = Aut (A6), aG =2 any two Smith equivalent real G-modules are isomorphic.
ASJC Scopus subject areas
- Applied Mathematics