We show that the number of maximal abelian subgroups of a finite p-group is congruent to 1 modulo p. Furthermore, if p > 2, the same can be said for the maximal elementary abelian subgroups, and more generally, for the maximal abelian subgroups of any given p-power exponent
Thesis (M.S.)--University of Illinois, 1915.Typescript.Vita.Includes bibliographical references
AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
Abstract. In §1 we study the p-groups G containing exactly p + 1 subgroups of order pp and exponent ...
Let T be a property which holds for a group independent of whether or not this group is embedded in ...
We determine in this paper, the precise number of cyclic quotients of Abelian p-Groups of exponent p...
AbstractWe determine the maximal number of conjugacy classes of maximal elementary abelian subgroups...
AbstractOlson determined, for each finite abelian p-group G, the maximal length of a sequence of ele...
Abstract. We determine the maximal number of conjugacy classes of maximal elementary abelian subgrou...
The main goal of this note is to give an explicit formula for the number of subgroups of finite nona...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
Abstract. The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of...
Abelian subgroups play a key role in the theory and applications of nite p-groups. Our purpose is to...
Let p be a prime and S be a nite p-group. Dene d(S) to be the maximum of jAj as A ranges over the ab...
Thesis (M.S.)--University of Illinois, 1915.Typescript.Vita.Includes bibliographical references
AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
Abstract. In §1 we study the p-groups G containing exactly p + 1 subgroups of order pp and exponent ...
Let T be a property which holds for a group independent of whether or not this group is embedded in ...
We determine in this paper, the precise number of cyclic quotients of Abelian p-Groups of exponent p...
AbstractWe determine the maximal number of conjugacy classes of maximal elementary abelian subgroups...
AbstractOlson determined, for each finite abelian p-group G, the maximal length of a sequence of ele...
Abstract. We determine the maximal number of conjugacy classes of maximal elementary abelian subgrou...
The main goal of this note is to give an explicit formula for the number of subgroups of finite nona...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
Abstract. The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of...
Abelian subgroups play a key role in the theory and applications of nite p-groups. Our purpose is to...
Let p be a prime and S be a nite p-group. Dene d(S) to be the maximum of jAj as A ranges over the ab...
Thesis (M.S.)--University of Illinois, 1915.Typescript.Vita.Includes bibliographical references
AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
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