The paper classifies (up to isomorphism) those groups of prime power order whose derived subgroups have prime order.
On Camina Groups of Prime Power Order
โ Scribed by Rex Dark; Carlo M. Scoppola
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 196 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let S=(a 1 , a 2 , ..., a 2n&1 ) be a sequence of 2n&1 elements in an Abelian group G of order n (written additively). For a # G, let r(S, a) be the number of subsequences of length exactly n whose sum is a. Erdo s et al. [1] proved that r(S, 0) 1. In [2], Mann proved that if n (=p) is a prime, then
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Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien's formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien's formula which works in the case that G is divisible by p but not