Glasnik matematički, Vol. 39 No. 2, 2004.
Original scientific paper
On a lemma of Thompson
Yakov Berkovich
Abstract
In Theorem 3 we improve a lemma of Thompson omitting one of its conditions. In that lemma the structure of T, a Sylow 2-subgroup of G, is described only. In contrast to that lemma, we describe in detail the structure of the whole group G and embedding of T in G. In Theorem 4 we consider a similar, but more general, situation for groups of odd order.
Keywords
Solvable extraspecial, special and metacyclic p-groups; Blackburn's theorem; the stabilizer of a chain
Hrčak ID:
1244
URI
Publication date:
29.11.2004.
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