engleski

On a Question of N. Blackburn about Finite 2-groups

We classify finite 2-groups G possessing an involution which is contained in a unique subgroup of order 4 in G. This answers a question of N. Blackburn about finite 2-groups. We show that the extended Blackburn's problem is reduced to the outstanding problem of p-group theory to classify 2-groups with exactly three involutions.

finite 2-groups of maximal class ; centralizers of subgroups ; metacyclic 2-groups

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