Results 191 to 200 of about 2,545 (225)
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Groups with few conjugacy classes
Proceedings of the Edinburgh Mathematical Society, 2011AbstractLet 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 and only if if $\smash{\sqrt{p-1}}$ is an integer, $G=C_{p}\rtimes\smash{C_{\sqrt{p-1}}}$ and CG ...
Héthelyi, László +3 more
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Conjugacy Classes and Class Number
Integers, 2009AbstractIt is shown that the conjugacy classes of integral matrices with a given irreducible characteristic polynomial is in bijection with the class group of a corresponding order in an algebraic number field.
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Conjugacy Classes of Fuzzy Implications
1999We discuss the conjugacy problem in the family of fuzzy implications. Particularly we examine a compatibility of conjugacy classes with induced order and induced convergence in the family of fuzzy implications. Conjugacy classes can be indexed by elements of adequate groups.
Michal Baczynski 0001, Józef Drewniak
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On the Computation of Conjugacy Classes of Chevalley Groups
Applicable Algebra in Engineering, Communication and Computing, 1996Let \(G\) be a connected reductive algebraic group defined over a Galois field \(F_q\) with corresponding Frobenius endomorphism \(F\) and a finite group \(G^F\) of \(F\)-fixed points. Two semisimple conjugacy classes \([s_1]\) and \([s_2]\) of \(G^F\) are called of the same genus if the centralizers \(C_G(s_1)\) and \(C_G(s_2)\) are conjugate under ...
Peter Fleischmann, Ingo Janiszczak
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The Number of Conjugacy Classes
The American Mathematical Monthly, 1998(1998). The Number of Conjugacy Classes. The American Mathematical Monthly: Vol. 105, No. 4, pp. 359-361.
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ON THE THOMPSON'S CONJECTURE ON CONJUGACY CLASSES SIZES
International Journal of Algebra and Computation, 2013In this paper, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type. In fact, we show that every finite group G with the property Φ(G) ∩ Z(G) = 1 and N(G) = N(Dn(q)) is isomorphic to Z(G) × Dn(q), where n ≥ 5 and n ≠ 8. Note that N(G), Φ(G) and Z(G) are the set of lengths of conjugacy classes of G, Frattini subgroup of ...
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1980
The preceding section is a synopsis of the results obtained by a conjugacy class analysis of the SGA for an anisotropic fermi superfluid. I apologize for the jargon used in describing the various experimentally observed states; however, there is enough correspondence between subalgebras and phases to suggest that the relationship is not merely ...
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The preceding section is a synopsis of the results obtained by a conjugacy class analysis of the SGA for an anisotropic fermi superfluid. I apologize for the jargon used in describing the various experimentally observed states; however, there is enough correspondence between subalgebras and phases to suggest that the relationship is not merely ...
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BOUNDED CONJUGACY CLASSES AND CONJUGACY CLASSES SUPPORTING INVARIANT MEASURES AND AUTOMORPHISMS
Bulletin of the Australian Mathematical SocietyAbstract We consider conjugacy classes in a locally compact group G that support finite G -invariant measures. If G is a property (M) extension of an abelian group, in particular, if
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Determining group structure by set of conjugacy class sizes
Communications in Algebra, 2020Changguo Shao, Qinhui Jiang
exaly