We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of counting theorems and results on subgroups of maximal class and p-groups with few subgroups of given type are also proved. Counting theorems play crucial role in the whole paper
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal c...
Below we state a great number of research problems concerning finite p-groups. This list is a contin...
Abstract. In §1 we study the p-groups G containing exactly p + 1 subgroups of order pp and exponent ...
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)...
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 offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
AbstractNew very detailed proofs of Theorems 2.5 and 2.64 from the seminal paper of Philip Hall [P. ...
Abstract. We prove that if a p-group G of exponent pe> p has no subgroup H such that |Ω1(H) | = ...
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...
This note was inspired by A. Mann\u27s letter [3] at June 28, 2009, in which the number of subgroups...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
This note was inspired by A. Mann\u27s letter [3] at June 28, 2009, in which the number of subgroups...
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...
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal c...
Below we state a great number of research problems concerning finite p-groups. This list is a contin...
Abstract. In §1 we study the p-groups G containing exactly p + 1 subgroups of order pp and exponent ...
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)...
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 offer short proofs of such basic results of finite p-group theory as theorems of Blackburn, Huppe...
AbstractNew very detailed proofs of Theorems 2.5 and 2.64 from the seminal paper of Philip Hall [P. ...
Abstract. We prove that if a p-group G of exponent pe> p has no subgroup H such that |Ω1(H) | = ...
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...
This note was inspired by A. Mann\u27s letter [3] at June 28, 2009, in which the number of subgroups...
AbstractSuppose p is a prime, S is a finite p-group, and B is a subgroup of S of order pn and class ...
This note was inspired by A. Mann\u27s letter [3] at June 28, 2009, in which the number of subgroups...
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...
AbstractLet p be an odd prime, G a finite p-group and pk the maximal order of an exponent p subgroup...
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal c...
Below we state a great number of research problems concerning finite p-groups. This list is a contin...
DOI
Add to ORKG