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2012 A criterion for $c$-capability of pairs of groups
Azam Hokmabadi, Azam Pourmirzaei, Saeed Kayvanfar
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Tbilisi Math. J. 5(1): 31-38 (2012). DOI: 10.32513/tbilisi/1528768887

Abstract

The notion of capability for pairs of groups was defined by Ellis in 1996. In this paper, we extend the theory of $c$-capability for pairs of groups and introduce a criterion, denoted by $Z_c^*(G,N)$, for $c$-capability of a pair $(G,N)$ of groups. We also study the behavior of $Z_c^*(G,N)$ with respect to direct products of groups.

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Azam Hokmabadi. Azam Pourmirzaei. Saeed Kayvanfar. "A criterion for $c$-capability of pairs of groups." Tbilisi Math. J. 5 (1) 31 - 38, 2012. https://doi.org/10.32513/tbilisi/1528768887

Information

Received: 3 May 2011; Revised: 11 May 2012; Accepted: 28 May 2012; Published: 2012
First available in Project Euclid: 12 June 2018

zbMATH: 1284.20033
MathSciNet: MR2950184
Digital Object Identifier: 10.32513/tbilisi/1528768887

Subjects:
Primary: 20F14
Secondary: 20F28

Rights: Copyright © 2012 Tbilisi Centre for Mathematical Sciences

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