AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present simplified proofs almost all elementary lemmas from Section 8 of the Odd Order Paper. In many places we use Hall's enumeration principle and other simple combinatorial arguments. A number of related results are proved as well. Some open questions are posed
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly...
We prove that if a p-group G of exponent pe > p has no subgroup H such that |Ω1(H)| = pp and H/Ω1(H)...
AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
AbstractWe will show that for any integern≥0, the automorphism group of an abelianp-groupG,p≥3, cont...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
We determine up to isomorphism all finite p-groups G which possess non-normal subgroups and each non...
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than ...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly...
We prove that if a p-group G of exponent pe > p has no subgroup H such that |Ω1(H)| = pp and H/Ω1(H)...
AbstractThis is a continuation of our note (J. Algebra186(1996), 120–131). We generalize and present...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
AbstractWe will show that for any integern≥0, the automorphism group of an abelianp-groupG,p≥3, cont...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
AbstractSuppose p is a prime, P is a finite p-group, and A is an abelian subgroup of P. Does P posse...
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
We continue investigation of a p-group G containing a maximal elementary abelian subgroup R of order...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
We determine up to isomorphism all finite p-groups G which possess non-normal subgroups and each non...
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than ...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
Y. Berkovich has proposed to classify nonabelian finite p-groups G of exponent >p which have exactly...
We prove that if a p-group G of exponent pe > p has no subgroup H such that |Ω1(H)| = pp and H/Ω1(H)...
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