Simple groups contain minimal simple groups

DOI10.5565/PUBLMAT_41297_07zbMath0894.20019MaRDI QIDQ1385185

Michael J. J. Barry, Michael B. Ward

Publication date: 8 September 1998

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41316

zbMATH Keywords

sporadic groupsfinite simple groupsalternating groupsgroups of Lie typeminimal simple groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Finite simple groups and their classification (20D05)

Related Items (14)

Unnamed Item ⋮ The clique number of the intersection graph of a finite group ⋮ Non-existence of integral Hopf orders for twists of several simple groups of Lie type ⋮ Groups in which every non-nilpotent subgroup is self-normalizing ⋮ A class of generalised finite \(T\)-groups. ⋮ Finite groups in which the centralizer of every noncentral element of odd order is abelian ⋮ Groups whose elements are not conjugate to their powers ⋮ Purely noncommuting groups ⋮ SOLVABILITY OF FINITE GROUPS VIA CONDITIONS ON PRODUCTS OF 2-ELEMENTS AND ODD p-ELEMENTS ⋮ Groups all of whose undirected Cayley graphs are determined by their spectra ⋮ On the number of isomorphism classes of derived subgroups ⋮ Simple groups the derived subgroups of all of whose subgroups are TI-subgroups ⋮ On element-centralizers in finite groups. ⋮ ON GROUPS WITH A FINITE NUMBER OF NORMALISERS

This page was built for publication: Simple groups contain minimal simple groups