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Showing 1 to 20 of 63 for “"Finite groups"”.
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Commutativity Degree of Finite Groups
… We find bounds on the commutativity degree of a finite group, equate restricted values of commutativity degree to finite groups with particular structures, compute the commutativity degree for a number of classes of fi nite groups, and discuss the set of possible values of commutativity degree …
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Projective Representations of Finite-Groups
Made available in DSpace on 2014-12-11T18:24:09Z (GMT). No. of bitstreams: 1 7414590.pdf: 2868831 bytes, checksum: 1740f071ffde4a623c526525cb3a84ee (MD5) Previous issue date: 1974
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Finite groups with a special 2-generator property, and order of centralizers in finite groups
"This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (I,3) defined a finite nonabelian group G as lying in $\Gamma\sb1\sp{(2)}$ (spread one-two) if for every 1 $\not=$ x $\in$ G, either x is an involution and G = $\langle$x,y$\rangle$ for some y $\in$ …
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Saturated fusion systems and finite groups
… concerned with saturated fusion systems over groups of shape q\(^r\) : q where q = p\(^n\) for some odd prime p and some natural number n. We shall present two results related to these fusion systems. Our first result is a complete classification of saturated fusion systems over a Sylow …
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Vertices of Representations of Finite Groups
Made available in DSpace on 2014-12-14T13:09:26Z (GMT). No. of bitstreams: 1 7606726.pdf: 2014864 bytes, checksum: fe52109183d1e961a7a277a82fa930d3 (MD5) Previous issue date: 1975
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Finite Groups Generating a Product Variety
Made available in DSpace on 2014-12-11T18:23:42Z (GMT). No. of bitstreams: 1 7115000.pdf: 6526328 bytes, checksum: a355d1ebf6f0a64ddf54605a50c05cf1 (MD5) Previous issue date: 1970
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Finite Groups Acting on Sets With Applications
… Magazine appears an article entitled "Finite Groups Acting on Sets With Applications," by Louis W. Shapiro. The article poses a series of problems in a step-by-step manner involving finite group action on sets, the Polya-Burnside Theorem, and the First and Second Sylow Theorems. The …
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On the symmetric generation of finite groups
… In Chapter 3 our attention turns to Coxeter groups. We show how the Coxeter-Moser presentations traditionally associated with the families of finite Coxeter groups of types A\(_n\), D\(_n\) and E\(_n\) (ie the “simply laced” Coxeter groups) may be interpreted as symmetric presentations and as …
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Finite Groups of Automorphisms of Infinite Groups
Made available in DSpace on 2014-12-14T13:09:38Z (GMT). No. of bitstreams: 1 7820935.pdf: 3053366 bytes, checksum: dedfb953c9ce6c7d8214706bc74fdbe7 (MD5) Previous issue date: 1978
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Frobenius transfers and p-local finite groups
… explore the possibility of defining the p-local finite groups of Broto, Levi and Oliver in terms of their classifying spaces. More precisely, we consider the question posed by Haynes Miller, whether an equivalent theory can be recovered by studying maps f: BS --> X from the classifying space of a …
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Rationality of blocks of quasi-simple finite groups
… context of Donovan's conjecture for blocks of finite group algebras. Let P be a finite ℓ-group. Donovan's conjecture states that there are finitely many Morita equivalence classes of blocks of finite group algebras with defect groups isomorphic to P. Kessar proved that Donovan's conjecture …
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Central Intertwining Numbers for Representations of Finite Groups
Made available in DSpace on 2015-05-12T17:09:35Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 6001641.PDF: 1615805 bytes, checksum: 255dd9f9d1cb6507ae680b53df3a4d75 (MD5) Previous issue date: 1960
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Finite Groups of Automorphisms of Algebraic Function Fields
Made available in DSpace on 2014-12-05T21:50:11Z (GMT). No. of bitstreams: 1 5805487.pdf: 1929314 bytes, checksum: 9227ba3bbd12be598885441a06850952 (MD5) Previous issue date: 1958
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Relations between subgroups and quotient groups of finite groups
<p>Subgroups and quotient groups are elementary concepts and at the same time important tools for investigating the structure of groups. Though a group is usually not determined by its proper subgroups and proper quotient groups, significant estimates can often be deduced from information about …
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Finite Groups With Prime P to the First Power
Made available in DSpace on 2014-12-11T18:24:12Z (GMT). No. of bitstreams: 1 7511749.pdf: 1494620 bytes, checksum: 0f30cf96511dbae10c629091d61044a3 (MD5) Previous issue date: 1974
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The Green Correspondences for Finite-Groups With a Cyclic Sylow Subgroup
Made available in DSpace on 2014-12-11T18:24:10Z (GMT). No. of bitstreams: 1 7414638.pdf: 1636170 bytes, checksum: 8131f134e72364f25f72bb132f9d346d (MD5) Previous issue date: 1974
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On an analogue to the Grushko-Neumann theorem involving finite groups
Let C be a class of finite groups closed under the operations of taking subgroups, quotients, and extensions. Let H and K be pro-C-groups and let $G=H*K$ be their free pro-C-product. An open question in the theory of profinite groups is whether or not $d(G)=d(H)+d(K),$ which is an analogue to the …
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Trace Problems in Algebraic Number Fields and Applications to Characters of Finite Groups
In the second chapter, we define the Siegel norm of algebraic numbers, and study it in connection to the spectral norm. In the last section of the chapter we compute its values on a large class of elements of Q ≃ , the completion of Q&d1; with respect to the spectral norm. The third chapter …
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