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On the number of
type-k translation-invariant
groups
Joel Saul Hillel |
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Vol. 45 (1973), No. 2, 539–541
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Abstract |
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The concept of a translation-invariant permutation group was introduced in connection with the problem of constructing “algebras of symmetry-classes of tensors”. Such a group is of type-k if it has k orbits. In this paper the number of type-k groups is shown to be the same as the number of divisors of Xk − 1 over the two-element field. |
Mathematical Subject Classification 2000
Primary: 20B05
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Milestones
Received: 14 November 1971
Published: 1 April 1973
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Authors |
| Joel Saul Hillel | |
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