Results 151 to 160 of about 737 (186)
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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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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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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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Groups with restricted conjugacy classes
2002Let \(\text{FC}^0\) be the class of all finite groups, and for each non-negative integer \(n\) let the class \(\text{FC}^{n+1}\) be defined by induction as the class of all groups \(G\) such that for every element \(x\in G\) the factor group \(G/C_G(\langle x\rangle^G)\) is in \(\text{FC}^n\). The \(\text{FC}^1\)-groups are precisely groups with finite
de Giovanni F., Russo A., Vincenzi G.
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2012
This chapter analyzes Frobenius conjugacy classes. It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N. Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ).
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This chapter analyzes Frobenius conjugacy classes. It shows that in either the split or nonsplit case, when χ is good for N, the conjugacy class FrobE,X has unitary eigenvalues in every representation of the reductive group Garith,N. Now fix a maximal compact subgroup K of the complex reductive group Garith,N (ℂ).
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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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