2008年
Smith equivalent Aut(A(6))-representations are isomorphic
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- 巻
- 136
- 号
- 10
- 開始ページ
- 3683
- 終了ページ
- 3688
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1090/S0002-9939-08-08891-6
- 出版者・発行元
- AMER MATHEMATICAL SOC
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 a(G), 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(A(6)), a(G) = 2 any two Smith equivalent real G-modules are isomorphic.
- リンク情報
- ID情報
-
- DOI : 10.1090/S0002-9939-08-08891-6
- ISSN : 0002-9939
- Web of Science ID : WOS:000256948700038