### Abstract

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.

Original language | English |
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Pages (from-to) | 3683-3688 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 136 |

Issue number | 10 |

DOIs | |

Publication status | Published - Oct 2008 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics