Add to ORKGIn [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is the nilpotency index of the (Jacobson) radical of k[G], k a field of characteristic p, and pm is the highest power of p dividing the order of G. In the paper cited above, we have given only an outline of the proof of the result for p = 3 ([2, Theorem 11]). The aim of this paper is to give the complete proof of part (1) in the theorem.Article信州大学理学部紀要 36(1): 1-8(2001)departmental bulletin pape
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
In this paper we consider two functions related to the arithmetic and geometric means of element ord...
Consider the Macdonald groups $G(\alpha)=\langle A,B\,|\, A^{[A,B]}=A^\alpha,\, B^{[B,A]}=B^\alpha\r...
In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is th...
Let t(G) be the nilpotency index of the radical J(KG) of a group algebra KG of a finite p-solvable g...
In part A we consider three separate problems concerned with the radical of the group algebra of a f...
summary:Let $G$ be a finite group and $k$ a field of characteristic $p > 0$. In this paper, we obtai...
Unfortunately “Corrigendum to Characterizations of Fitting p-groups whose proper subgroups are solva...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
Assume that G is a finite group, π(G) = {s} ∪ σ, s > 2, Σ is a set of Sylow σ-subgroups in which one...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractWe settle a conjecture of Walter Carlip (1994) [2, Conjecture 1.3]. Suppose that G is a fini...
We offer a new proof of the classical theorem asserting that if a positive integer n divides the ord...
AbstractVarious problems in modular p-group algebras are solved through extensive study of dimension...
AbstractWe obtain the following characterization of the solvable radical R(G) of any finite group G:...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
In this paper we consider two functions related to the arithmetic and geometric means of element ord...
Consider the Macdonald groups $G(\alpha)=\langle A,B\,|\, A^{[A,B]}=A^\alpha,\, B^{[B,A]}=B^\alpha\r...
In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is th...
Let t(G) be the nilpotency index of the radical J(KG) of a group algebra KG of a finite p-solvable g...
In part A we consider three separate problems concerned with the radical of the group algebra of a f...
summary:Let $G$ be a finite group and $k$ a field of characteristic $p > 0$. In this paper, we obtai...
Unfortunately “Corrigendum to Characterizations of Fitting p-groups whose proper subgroups are solva...
Let $G$ be a group with $|\pi(G)| \geq 3$. In this paper it is shown that $G$ is nilpotent if and on...
Assume that G is a finite group, π(G) = {s} ∪ σ, s > 2, Σ is a set of Sylow σ-subgroups in which one...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractWe settle a conjecture of Walter Carlip (1994) [2, Conjecture 1.3]. Suppose that G is a fini...
We offer a new proof of the classical theorem asserting that if a positive integer n divides the ord...
AbstractVarious problems in modular p-group algebras are solved through extensive study of dimension...
AbstractWe obtain the following characterization of the solvable radical R(G) of any finite group G:...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
In this paper we consider two functions related to the arithmetic and geometric means of element ord...
Consider the Macdonald groups $G(\alpha)=\langle A,B\,|\, A^{[A,B]}=A^\alpha,\, B^{[B,A]}=B^\alpha\r...