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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Glasnik Matematicki Serja III.
( Vol. 39 NO.2 / (2004))
On a lemma of Thompson
Yakov Berkovich,
Pages. 213-220
Abstract In Theorem 3 we improve [8, Lemma 5.4] (=Lemma 1, below) omitting one of its conditions. In Lemma 1 the structure of ${sl T}$, a Sylow 2-subgroup of ${sl G}$, is described only. In contrast to that lemma, we describe in detail the structure of the whole group ${sl G}$ and embedding of ${sl T}$ in ${sl G}$. In Theorem 4 we consider a similar, but more general, situation for groups of odd order.
Contents
Key words Solvable, extraspecial, special and metacyclic ${\it p}$-groups, Blackburn's theorem, the stabilizer of a chain
Mathmatical Subject Classification 20C15