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On Camina Groups of Prime Power Order

โœ Scribed by Rex Dark; Carlo M. Scoppola


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
196 KB
Volume
181
Category
Article
ISSN
0021-8693

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The paper classifies (up to isomorphism) those groups of prime power order whose derived subgroups have prime order.

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We associate a weighted graph โŒฌ G to each finite simple group G of Lie type. ## ลฝ . We show that, with an explicit list of exceptions, โŒฌ G determines G up to ลฝ . isomorphism, and for these exceptions, โŒฌ G nevertheless determines the characteristic of G. This result was motivated by algorithmic c

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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