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On the orders of conjugacy classes in group algebras of p-groups

Bovdi, A.; Kovacs, L; Mihovski, S

Description

Let p be a prime, F a field of pn elements, and G a finite p-group. It is shown here that if G has a quotient whose commutator subgroup is of order p and whose centre has index pk, then the group of normalized units in the group algebra F G has a conjugacy class of p nk elements. This was first proved by A. Bovdi and C. Polcino Milies for the case k = 2; their argument is now generalized and simplified. It remains an intriguing question whether the cardinality of the smallest noncentral...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/87049
Source: Journal of the Australian Mathematical Society

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