Results 11 to 20 of about 15,173 (265)

On groups with chordal power graph, including a classification in the case of finite simple groups [PDF]

Journal of Algebraic Combinatorics, 2023
AbstractWe prove various properties on the structure of groups whose power graph is chordal. Nilpotent groups with this property have been classified by (Electron J Combin 28(3):14, 2021). Here we classify the finite simple groups with chordal power graph, relative to typical number theoretic conditions.
Jendrik Brachter, Eda Kaja
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Simple groups contain minimal simple groups [PDF]

, 1997
It is a consequence of the classification of finite simple groups that every non-abelian simple group contains a subgroup which is a minimal simple ...
Ward, M. B., Michael J. J. Barry, Taghvasani, Leyli Jafari, Zarrin, Mohammad, Marzang, Soran, M. J. J. Barry, Barry, M. J. J., Michael B. Ward, M. B. Ward   +8 more
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Finite groups contain large centralizers [PDF]

, 2021
Every finite non-abelian group of order n has a non-central element whose centralizer has order exceeding n^{1/3}. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem.Depto. de Álgebra, Geometría y
Palacín, Daniel, Palacín Cruz, Daniel
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Simple groups of finite Morley rank [PDF]

, 2008
The book gives a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. They are linear algebraic groups over algebraically closed fields of characteristic 2.
Tuna Altınel, Borovik, Alexandre; id_orcid, Cherlin, Gregory, Alexandre Borovik, Altinel, Tuna, Gregory Cherlin   +5 more
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Permutation groups, simple groups and sieve methods [PDF]

, 2005
We show that the number of integers n ≤ x which occur as indices of subgroups of nonabelian finite simple groups, excluding that of An-1 in An, is ∼ hx/log x, for some given constant h.
Heath-Brown, D. R., Aner Shalev, Cheryl E. Praeger, Praeger, CE, D. R. Heath-brown, Heath-Brown, David, Praeger, C. E., Shalev, A, Shalev, A., Heath-Brown, DR   +9 more
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On the classification of finite simple groups by the number of involutions [PDF]

Proceedings of the American Mathematical Society, 1979
Simple groups with k involutions, where k ≡
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Classification of finite simple groups of small order [PDF]

, 2022
At the end of the 19th century Otto Hölder proposed one of the most important problems in group theory, the mathematical field this master’s thesis belongs to. Part of the problem represents the classification of finite simple groups.
Podboj, Patricija
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On rank 5 projective planes

International Journal of Mathematics and Mathematical Sciences, 1984
In this paper we continue the study of projective planes which admit collineation groups of low rank (Kallaher [1] and Bachmann [2,3]). A rank 5 collineation group of a projective plane ℙ of order n≠3 is proved to be flag-transitive. As in the rank 3 and
Otto Bachmann
doaj   +1 more source

$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]

, 2010
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George, George Glauberman, Nadia Mazza   +3 more
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Group Knowledge and Mathematical Collaboration: A Philosophical Examination of the Classification of Finite Simple Groups [PDF]

Episteme, 2021
AbstractIn this paper we apply social epistemology to mathematical proofs and their role in mathematical knowledge. The most famous modern collaborative mathematical proof effort is the Classification of Finite Simple Groups. The history and sociology of this proof have been well-documented by Alma Steingart (2012), who highlights a number of ...
Habgood-Coote, J, Tanswell, FS
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