We introduce {\em admissible collections} for a finite group $G$ and use them to prove that most of the finite classical groups in non-defining characteristic satisfy the {\em Quillen dimension at $p$ property}, a strong version of Quillen's conjecture, at a given odd prime divisor $p$ of $|G|$. Compared to the methods in \cite{AS1993}, our techniques are simpler
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
In this note alternate proofs of some basic results of finite group theory are presented
We explicitly construct infinitely many a non-abelian strongly real Beauville $p$-groups for every p...
This work was partially done at the University of Málaga, during a research stay of the first two au...
Let G be a finite group and Ap(G) be the poset of nontrivial elementary abelian p-subgroups of G. Qu...
AbstractWe will prove that the p-Quillen complex of a finite solvable group with cyclic derived grou...
For any given subgroup H of a finite group G, the Quillen poset of nontrivial elementary abelian p-s...
AbstractWe will prove that the p-Quillen complex of a finite solvable group with cyclic derived grou...
AbstractIn this paper, we investigate the fundamental group of the Quillen complex of the symmetric ...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
AbstractLet G be a classical group over the field with q=pd elements. We prove that if p is an odd p...
AbstractIn this paper, we investigate the homotopy type of the Quillen complex of the symmetric grou...
AbstractWe verify Uno's invariant conjecture for Steinberg's triality groups D43(q), q a power of an...
Let $p$ be an odd prime and $S$ a finite $p$-group. B.~Oliver's conjecture arises from an open probl...
AbstractI present here a theorem asserting that a finite group has a normal p-complement provided p ...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
In this note alternate proofs of some basic results of finite group theory are presented
We explicitly construct infinitely many a non-abelian strongly real Beauville $p$-groups for every p...
This work was partially done at the University of Málaga, during a research stay of the first two au...
Let G be a finite group and Ap(G) be the poset of nontrivial elementary abelian p-subgroups of G. Qu...
AbstractWe will prove that the p-Quillen complex of a finite solvable group with cyclic derived grou...
For any given subgroup H of a finite group G, the Quillen poset of nontrivial elementary abelian p-s...
AbstractWe will prove that the p-Quillen complex of a finite solvable group with cyclic derived grou...
AbstractIn this paper, we investigate the fundamental group of the Quillen complex of the symmetric ...
AbstractWe consider the algebraic K-groups with coefficients of smooth curves over number fields. We...
AbstractLet G be a classical group over the field with q=pd elements. We prove that if p is an odd p...
AbstractIn this paper, we investigate the homotopy type of the Quillen complex of the symmetric grou...
AbstractWe verify Uno's invariant conjecture for Steinberg's triality groups D43(q), q a power of an...
Let $p$ be an odd prime and $S$ a finite $p$-group. B.~Oliver's conjecture arises from an open probl...
AbstractI present here a theorem asserting that a finite group has a normal p-complement provided p ...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
In this note alternate proofs of some basic results of finite group theory are presented
We explicitly construct infinitely many a non-abelian strongly real Beauville $p$-groups for every p...
DOI
Add to ORKG