Zobrazeno 1 - 10
of 31
pro vyhledávání: '"László Héthelyi"'
Publikováno v:
Journal of Group Theory. 24:601-617
In this paper, we determine the TI subgroups of the simple Suzuki groups Sz ( q ) \mathrm{Sz}(q) . More generally, we determine those nontrivial subgroups that are disjoint from some of their conjugates. It turns out that the latter are exactly t
Autor:
László Héthelyi, M. Szőke
Publikováno v:
Journal of Algebra. 521:247-256
The aim of this paper is to investigate p-stable fusion systems, where p is an odd prime. We examine realisable fusion systems and prove a generalisation of a result of G. Glauberman. Then we prove that p-stability is determined by the normaliser sys
Publikováno v:
Communications in Algebra. 47:37-66
We determine the combinatorial and the ordinary depth of the maximal subgroups of the simple Ree groups 2G2(q). As an application of these calculations, we determine the subdegrees of primitive actions of the groups 2G2(q). We also improve an earlier
Publikováno v:
Communications in Algebra. 43:4553-4569
We determine the combinatorial depth of certain subgroups of simple Suzuki groups Sz(q), among others the depth of their maximal subgroups. We apply these results to determine the ordinary depth of these subgroups.
Comment: 15 pages
Comment: 15 pages
The aim of this paper is to generalise the notion of p-stability (p is an odd prime) in finite group theory to fusion systems. We first compare the different definitions of p-stability for groups and examine properties of p -stability concerning subg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90c9d7466a6b716d62924163b09953b3
Publikováno v:
Journal of Algebra. 398:364-385
For a p-block B of a finite group G with defect group D Olsson conjectured that k 0 ( B ) ⩽ | D : D ′ | , where k 0 ( B ) is the number of characters in B of height 0 and D ′ denotes the commutator subgroup of D. Brauer deduced Olssonʼs Conjec
Publikováno v:
Journal of Algebra. 342:1-15
We introduce a strong form of Oliver's p-group conjecture and derive a reformulation in terms of the modular representation theory of a quotient group. The Sylow p-subgroups of the symmetric group S_n and of the general linear group GL_n(F_q) satisfy
Autor:
Burkhard Külshammer, László Héthelyi
Publikováno v:
Journal of Algebra. 340:199-210
In this paper, we investigate the irreducible characters and conjugacy classes of a metacyclic p-group where p is an odd prime number. We show that, if | G ′ | = p n , then G has precisely | G : G ′ | ( p − 1 ) / p k + 1 irreducible characters
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 54:423-430
Let G be a finite group, let p be a prime divisor of the order of G and let k(G) be the number of conjugacy classes of G. By disregarding at most finitely many non-solvable p-solvable groups G, we have $k(G)\geq2\smash{\sqrt{p-1}}$ with equality if a
Publikováno v:
Communications in Algebra. 39:657-685
Let K be a conjugacy class of a finite p-group G where p is a prime, and let K −1 denote the conjugacy class of G consisting of the inverses of the elements in K. We observe that, in several cases, the number of elements in the product KK −1 is c