Below we state a great number of research problems concerning finite p-groups. This list is a continuation of the six lists in [1, 2, 3, 4, 5, 6]. Below we also stated some new theorems with proofs. For explanation of notation see the beginning of the above volumes
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
In this paper we show that a finite p-group which possesses non-normal subgroups and such that any t...
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
Below we state a great number of research problems concerning finite p-groups. This list is a contin...
We offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
We offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
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)...
AbstractNew very detailed proofs of Theorems 2.5 and 2.64 from the seminal paper of Philip Hall [P. ...
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)...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal c...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
Let G be a p-group of exponent pe and order pm, where m 2 and m 2(e+1) if p = 2. Then, if e-1(G) is...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
In this paper we show that a finite p-group which possesses non-normal subgroups and such that any t...
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
Below we state a great number of research problems concerning finite p-groups. This list is a contin...
We offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
We offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
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)...
AbstractNew very detailed proofs of Theorems 2.5 and 2.64 from the seminal paper of Philip Hall [P. ...
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)...
We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of cou...
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal c...
We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5)...
Let G be a p-group of exponent pe and order pm, where m 2 and m 2(e+1) if p = 2. Then, if e-1(G) is...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
Given a $p$-group $G$ and a subgroup-closed class $\mathfrak{X}$, we associate with each $\mathfrak{...
In this paper we show that a finite p-group which possesses non-normal subgroups and such that any t...
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
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